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Finding the Third Proportional to 108,974 and 169,919

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Solution

The third proportional to 108,974 and 169,919 is: 264,948.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,974 : 169,919 = 169,919 : x
  2. Step 2: Convert to fraction form
    108,974/169,919 = 169,919/x
  3. Step 3: Cross multiply
    108,974x = 169,919 × 169,919
  4. Step 4: Simplify right side
    108,974x = 28,872,466,561
  5. Step 5: Solve for x
    x = 28,872,466,561/108,974
  6. Step 6: Final answer
    x = 264,948.21

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.