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Finding the Third Proportional to 60,266 and 128,531

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Solution

The third proportional to 60,266 and 128,531 is: 274,121.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,266 : 128,531 = 128,531 : x
  2. Step 2: Convert to fraction form
    60,266/128,531 = 128,531/x
  3. Step 3: Cross multiply
    60,266x = 128,531 × 128,531
  4. Step 4: Simplify right side
    60,266x = 16,520,217,961
  5. Step 5: Solve for x
    x = 16,520,217,961/60,266
  6. Step 6: Final answer
    x = 274,121.69

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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.