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Finding the Third Proportional to 108,728 and 239,530

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Solution

The third proportional to 108,728 and 239,530 is: 527,689.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,728 : 239,530 = 239,530 : x
  2. Step 2: Convert to fraction form
    108,728/239,530 = 239,530/x
  3. Step 3: Cross multiply
    108,728x = 239,530 × 239,530
  4. Step 4: Simplify right side
    108,728x = 57,374,620,900
  5. Step 5: Solve for x
    x = 57,374,620,900/108,728
  6. Step 6: Final answer
    x = 527,689.47

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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.