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Finding the Third Proportional to 60,135.25 and 129,155

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Solution

The third proportional to 60,135.25 and 129,155 is: 277,391.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,135.25 : 129,155 = 129,155 : x
  2. Step 2: Convert to fraction form
    60,135.25/129,155 = 129,155/x
  3. Step 3: Cross multiply
    60,135.25x = 129,155 × 129,155
  4. Step 4: Simplify right side
    60,135.25x = 16,681,014,025
  5. Step 5: Solve for x
    x = 16,681,014,025/60,135.25
  6. Step 6: Final answer
    x = 277,391.61

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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.