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Finding the Third Proportional to 109,540 and 168,954

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Solution

The third proportional to 109,540 and 168,954 is: 260,593.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,540 : 168,954 = 168,954 : x
  2. Step 2: Convert to fraction form
    109,540/168,954 = 168,954/x
  3. Step 3: Cross multiply
    109,540x = 168,954 × 168,954
  4. Step 4: Simplify right side
    109,540x = 28,545,454,116
  5. Step 5: Solve for x
    x = 28,545,454,116/109,540
  6. Step 6: Final answer
    x = 260,593.88

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.