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Finding the Third Proportional to 108,939 and 234,561

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Solution

The third proportional to 108,939 and 234,561 is: 505,042.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,939 : 234,561 = 234,561 : x
  2. Step 2: Convert to fraction form
    108,939/234,561 = 234,561/x
  3. Step 3: Cross multiply
    108,939x = 234,561 × 234,561
  4. Step 4: Simplify right side
    108,939x = 55,018,862,721
  5. Step 5: Solve for x
    x = 55,018,862,721/108,939
  6. Step 6: Final answer
    x = 505,042.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.