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Finding the Third Proportional to 109,385 and 168,745

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Solution

The third proportional to 109,385 and 168,745 is: 260,317.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,385 : 168,745 = 168,745 : x
  2. Step 2: Convert to fraction form
    109,385/168,745 = 168,745/x
  3. Step 3: Cross multiply
    109,385x = 168,745 × 168,745
  4. Step 4: Simplify right side
    109,385x = 28,474,875,025
  5. Step 5: Solve for x
    x = 28,474,875,025/109,385
  6. Step 6: Final answer
    x = 260,317.91

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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.