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Finding the Third Proportional to 60,997.50 and 129,771

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Solution

The third proportional to 60,997.50 and 129,771 is: 276,085.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,997.50 : 129,771 = 129,771 : x
  2. Step 2: Convert to fraction form
    60,997.50/129,771 = 129,771/x
  3. Step 3: Cross multiply
    60,997.50x = 129,771 × 129,771
  4. Step 4: Simplify right side
    60,997.50x = 16,840,512,441
  5. Step 5: Solve for x
    x = 16,840,512,441/60,997.50
  6. Step 6: Final answer
    x = 276,085.29

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.