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Finding the Third Proportional to 252,407,678 and 387,729,102

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Solution

The third proportional to 252,407,678 and 387,729,102 is: 595,599,380.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,407,678 : 387,729,102 = 387,729,102 : x
  2. Step 2: Convert to fraction form
    252,407,678/387,729,102 = 387,729,102/x
  3. Step 3: Cross multiply
    252,407,678x = 387,729,102 × 387,729,102
  4. Step 4: Simplify right side
    252,407,678x = 150,333,856,537,726,400
  5. Step 5: Solve for x
    x = 150,333,856,537,726,400/252,407,678
  6. Step 6: Final answer
    x = 595,599,380.05

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