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Finding the Third Proportional to 108,240 and 161,920

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Solution

The third proportional to 108,240 and 161,920 is: 242,221.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,240 : 161,920 = 161,920 : x
  2. Step 2: Convert to fraction form
    108,240/161,920 = 161,920/x
  3. Step 3: Cross multiply
    108,240x = 161,920 × 161,920
  4. Step 4: Simplify right side
    108,240x = 26,218,086,400
  5. Step 5: Solve for x
    x = 26,218,086,400/108,240
  6. Step 6: Final answer
    x = 242,221.79

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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.