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Finding the Third Proportional to 108,720 and 172,962

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Solution

The third proportional to 108,720 and 172,962 is: 275,164.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,720 : 172,962 = 172,962 : x
  2. Step 2: Convert to fraction form
    108,720/172,962 = 172,962/x
  3. Step 3: Cross multiply
    108,720x = 172,962 × 172,962
  4. Step 4: Simplify right side
    108,720x = 29,915,853,444
  5. Step 5: Solve for x
    x = 29,915,853,444/108,720
  6. Step 6: Final answer
    x = 275,164.21

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.