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Finding the Third Proportional to 108,959 and 169,413

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Solution

The third proportional to 108,959 and 169,413 is: 263,408.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,959 : 169,413 = 169,413 : x
  2. Step 2: Convert to fraction form
    108,959/169,413 = 169,413/x
  3. Step 3: Cross multiply
    108,959x = 169,413 × 169,413
  4. Step 4: Simplify right side
    108,959x = 28,700,764,569
  5. Step 5: Solve for x
    x = 28,700,764,569/108,959
  6. Step 6: Final answer
    x = 263,408.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.