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Finding the Third Proportional to 60,500 and 138,866

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Solution

The third proportional to 60,500 and 138,866 is: 318,739.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,500 : 138,866 = 138,866 : x
  2. Step 2: Convert to fraction form
    60,500/138,866 = 138,866/x
  3. Step 3: Cross multiply
    60,500x = 138,866 × 138,866
  4. Step 4: Simplify right side
    60,500x = 19,283,765,956
  5. Step 5: Solve for x
    x = 19,283,765,956/60,500
  6. Step 6: Final answer
    x = 318,739.93

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.