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Finding the Third Proportional to 133,874 and 207,294

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Solution

The third proportional to 133,874 and 207,294 is: 320,979.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,874 : 207,294 = 207,294 : x
  2. Step 2: Convert to fraction form
    133,874/207,294 = 207,294/x
  3. Step 3: Cross multiply
    133,874x = 207,294 × 207,294
  4. Step 4: Simplify right side
    133,874x = 42,970,802,436
  5. Step 5: Solve for x
    x = 42,970,802,436/133,874
  6. Step 6: Final answer
    x = 320,979.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.