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Finding the Third Proportional to 59,980 and 129,176

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Solution

The third proportional to 59,980 and 129,176 is: 278,200.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,980 : 129,176 = 129,176 : x
  2. Step 2: Convert to fraction form
    59,980/129,176 = 129,176/x
  3. Step 3: Cross multiply
    59,980x = 129,176 × 129,176
  4. Step 4: Simplify right side
    59,980x = 16,686,438,976
  5. Step 5: Solve for x
    x = 16,686,438,976/59,980
  6. Step 6: Final answer
    x = 278,200.05

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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.