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Finding the Third Proportional to 60,738 and 125,366

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Solution

The third proportional to 60,738 and 125,366 is: 258,761.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,738 : 125,366 = 125,366 : x
  2. Step 2: Convert to fraction form
    60,738/125,366 = 125,366/x
  3. Step 3: Cross multiply
    60,738x = 125,366 × 125,366
  4. Step 4: Simplify right side
    60,738x = 15,716,633,956
  5. Step 5: Solve for x
    x = 15,716,633,956/60,738
  6. Step 6: Final answer
    x = 258,761.14

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.