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Finding the Third Proportional to 252,407,680 and 387,729,100

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Solution

The third proportional to 252,407,680 and 387,729,100 is: 595,599,369.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,407,680 : 387,729,100 = 387,729,100 : x
  2. Step 2: Convert to fraction form
    252,407,680/387,729,100 = 387,729,100/x
  3. Step 3: Cross multiply
    252,407,680x = 387,729,100 × 387,729,100
  4. Step 4: Simplify right side
    252,407,680x = 150,333,854,986,809,984
  5. Step 5: Solve for x
    x = 150,333,854,986,809,984/252,407,680
  6. Step 6: Final answer
    x = 595,599,369.19

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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.