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Finding the Third Proportional to 80,707 and 159,347

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Solution

The third proportional to 80,707 and 159,347 is: 314,612.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,707 : 159,347 = 159,347 : x
  2. Step 2: Convert to fraction form
    80,707/159,347 = 159,347/x
  3. Step 3: Cross multiply
    80,707x = 159,347 × 159,347
  4. Step 4: Simplify right side
    80,707x = 25,391,466,409
  5. Step 5: Solve for x
    x = 25,391,466,409/80,707
  6. Step 6: Final answer
    x = 314,612.94

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.