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Finding the Third Proportional to 81,118,502 and 123,720,906

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Solution

The third proportional to 81,118,502 and 123,720,906 is: 188,697,549.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,118,502 : 123,720,906 = 123,720,906 : x
  2. Step 2: Convert to fraction form
    81,118,502/123,720,906 = 123,720,906/x
  3. Step 3: Cross multiply
    81,118,502x = 123,720,906 × 123,720,906
  4. Step 4: Simplify right side
    81,118,502x = 15,306,862,581,460,836
  5. Step 5: Solve for x
    x = 15,306,862,581,460,836/81,118,502
  6. Step 6: Final answer
    x = 188,697,549.93

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.