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Finding the Third Proportional to 129,396 and 205,758

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Solution

The third proportional to 129,396 and 205,758 is: 327,184.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,396 : 205,758 = 205,758 : x
  2. Step 2: Convert to fraction form
    129,396/205,758 = 205,758/x
  3. Step 3: Cross multiply
    129,396x = 205,758 × 205,758
  4. Step 4: Simplify right side
    129,396x = 42,336,354,564
  5. Step 5: Solve for x
    x = 42,336,354,564/129,396
  6. Step 6: Final answer
    x = 327,184.42

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.