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Finding the Third Proportional to 63,418 and 133,906

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Solution

The third proportional to 63,418 and 133,906 is: 282,740.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,418 : 133,906 = 133,906 : x
  2. Step 2: Convert to fraction form
    63,418/133,906 = 133,906/x
  3. Step 3: Cross multiply
    63,418x = 133,906 × 133,906
  4. Step 4: Simplify right side
    63,418x = 17,930,816,836
  5. Step 5: Solve for x
    x = 17,930,816,836/63,418
  6. Step 6: Final answer
    x = 282,740.18

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.