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Finding the Third Proportional to 114,646,412,527.50 and 170,975,418,246

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Solution

The third proportional to 114,646,412,527.50 and 170,975,418,246 is: 254,980,448,144.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,646,412,527.50 : 170,975,418,246 = 170,975,418,246 : x
  2. Step 2: Convert to fraction form
    114,646,412,527.50/170,975,418,246 = 170,975,418,246/x
  3. Step 3: Cross multiply
    114,646,412,527.50x = 170,975,418,246 × 170,975,418,246
  4. Step 4: Simplify right side
    114,646,412,527.50x = 29,232,593,644,394,628,775,936
  5. Step 5: Solve for x
    x = 29,232,593,644,394,628,775,936/114,646,412,527.50
  6. Step 6: Final answer
    x = 254,980,448,144.27

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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.