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Finding the Third Proportional to 252,729,770 and 388,291,359

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Solution

The third proportional to 252,729,770 and 388,291,359 is: 596,566,757.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,729,770 : 388,291,359 = 388,291,359 : x
  2. Step 2: Convert to fraction form
    252,729,770/388,291,359 = 388,291,359/x
  3. Step 3: Cross multiply
    252,729,770x = 388,291,359 × 388,291,359
  4. Step 4: Simplify right side
    252,729,770x = 150,770,179,474,066,880
  5. Step 5: Solve for x
    x = 150,770,179,474,066,880/252,729,770
  6. Step 6: Final answer
    x = 596,566,757.74

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.