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Finding the Third Proportional to 129,166 and 173,580

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Solution

The third proportional to 129,166 and 173,580 is: 233,265.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,166 : 173,580 = 173,580 : x
  2. Step 2: Convert to fraction form
    129,166/173,580 = 173,580/x
  3. Step 3: Cross multiply
    129,166x = 173,580 × 173,580
  4. Step 4: Simplify right side
    129,166x = 30,130,016,400
  5. Step 5: Solve for x
    x = 30,130,016,400/129,166
  6. Step 6: Final answer
    x = 233,265.85

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.