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Finding the Third Proportional to 60,266 and 129,781

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Solution

The third proportional to 60,266 and 129,781 is: 279,479.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,266 : 129,781 = 129,781 : x
  2. Step 2: Convert to fraction form
    60,266/129,781 = 129,781/x
  3. Step 3: Cross multiply
    60,266x = 129,781 × 129,781
  4. Step 4: Simplify right side
    60,266x = 16,843,107,961
  5. Step 5: Solve for x
    x = 16,843,107,961/60,266
  6. Step 6: Final answer
    x = 279,479.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.