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Finding the Third Proportional to 59,976 and 129,312

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Solution

The third proportional to 59,976 and 129,312 is: 278,804.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,976 : 129,312 = 129,312 : x
  2. Step 2: Convert to fraction form
    59,976/129,312 = 129,312/x
  3. Step 3: Cross multiply
    59,976x = 129,312 × 129,312
  4. Step 4: Simplify right side
    59,976x = 16,721,593,344
  5. Step 5: Solve for x
    x = 16,721,593,344/59,976
  6. Step 6: Final answer
    x = 278,804.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.