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Finding the Third Proportional to 270,325,238.50 and 418,769,287.75

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Solution

The third proportional to 270,325,238.50 and 418,769,287.75 is: 648,728,610.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,325,238.50 : 418,769,287.75 = 418,769,287.75 : x
  2. Step 2: Convert to fraction form
    270,325,238.50/418,769,287.75 = 418,769,287.75/x
  3. Step 3: Cross multiply
    270,325,238.50x = 418,769,287.75 × 418,769,287.75
  4. Step 4: Simplify right side
    270,325,238.50x = 175,367,716,362,642,304
  5. Step 5: Solve for x
    x = 175,367,716,362,642,304/270,325,238.50
  6. Step 6: Final answer
    x = 648,728,610.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.