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Finding the Third Proportional to 114,646,412,523.75 and 170,975,418,241.50

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Solution

The third proportional to 114,646,412,523.75 and 170,975,418,241.50 is: 254,980,448,139.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,646,412,523.75 : 170,975,418,241.50 = 170,975,418,241.50 : x
  2. Step 2: Convert to fraction form
    114,646,412,523.75/170,975,418,241.50 = 170,975,418,241.50/x
  3. Step 3: Cross multiply
    114,646,412,523.75x = 170,975,418,241.50 × 170,975,418,241.50
  4. Step 4: Simplify right side
    114,646,412,523.75x = 29,232,593,642,855,851,884,544
  5. Step 5: Solve for x
    x = 29,232,593,642,855,851,884,544/114,646,412,523.75
  6. Step 6: Final answer
    x = 254,980,448,139.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.