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Finding the Third Proportional to 137,502,840 and 198,853,110

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Solution

The third proportional to 137,502,840 and 198,853,110 is: 287,576,310.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,502,840 : 198,853,110 = 198,853,110 : x
  2. Step 2: Convert to fraction form
    137,502,840/198,853,110 = 198,853,110/x
  3. Step 3: Cross multiply
    137,502,840x = 198,853,110 × 198,853,110
  4. Step 4: Simplify right side
    137,502,840x = 39,542,559,356,672,096
  5. Step 5: Solve for x
    x = 39,542,559,356,672,096/137,502,840
  6. Step 6: Final answer
    x = 287,576,310.11

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.