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Finding the Third Proportional to 108,745 and 239,565

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Solution

The third proportional to 108,745 and 239,565 is: 527,761.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,745 : 239,565 = 239,565 : x
  2. Step 2: Convert to fraction form
    108,745/239,565 = 239,565/x
  3. Step 3: Cross multiply
    108,745x = 239,565 × 239,565
  4. Step 4: Simplify right side
    108,745x = 57,391,389,225
  5. Step 5: Solve for x
    x = 57,391,389,225/108,745
  6. Step 6: Final answer
    x = 527,761.18

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.