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Finding the Third Proportional to 70,910 and 149,566

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Solution

The third proportional to 70,910 and 149,566 is: 315,470.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,910 : 149,566 = 149,566 : x
  2. Step 2: Convert to fraction form
    70,910/149,566 = 149,566/x
  3. Step 3: Cross multiply
    70,910x = 149,566 × 149,566
  4. Step 4: Simplify right side
    70,910x = 22,369,988,356
  5. Step 5: Solve for x
    x = 22,369,988,356/70,910
  6. Step 6: Final answer
    x = 315,470.15

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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.