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Finding the Third Proportional to 60,011 and 129,256

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Solution

The third proportional to 60,011 and 129,256 is: 278,400.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,011 : 129,256 = 129,256 : x
  2. Step 2: Convert to fraction form
    60,011/129,256 = 129,256/x
  3. Step 3: Cross multiply
    60,011x = 129,256 × 129,256
  4. Step 4: Simplify right side
    60,011x = 16,707,113,536
  5. Step 5: Solve for x
    x = 16,707,113,536/60,011
  6. Step 6: Final answer
    x = 278,400.85

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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.