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Finding the Third Proportional to 60,240 and 129,696

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Solution

The third proportional to 60,240 and 129,696 is: 279,233.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,240 : 129,696 = 129,696 : x
  2. Step 2: Convert to fraction form
    60,240/129,696 = 129,696/x
  3. Step 3: Cross multiply
    60,240x = 129,696 × 129,696
  4. Step 4: Simplify right side
    60,240x = 16,821,052,416
  5. Step 5: Solve for x
    x = 16,821,052,416/60,240
  6. Step 6: Final answer
    x = 279,233.94

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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.