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Finding the Third Proportional to 181,680 and 272,580

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Solution

The third proportional to 181,680 and 272,580 is: 408,960.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,680 : 272,580 = 272,580 : x
  2. Step 2: Convert to fraction form
    181,680/272,580 = 272,580/x
  3. Step 3: Cross multiply
    181,680x = 272,580 × 272,580
  4. Step 4: Simplify right side
    181,680x = 74,299,856,400
  5. Step 5: Solve for x
    x = 74,299,856,400/181,680
  6. Step 6: Final answer
    x = 408,960.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.