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Finding the Third Proportional to 129,446 and 173,838

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Solution

The third proportional to 129,446 and 173,838 is: 233,453.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,446 : 173,838 = 173,838 : x
  2. Step 2: Convert to fraction form
    129,446/173,838 = 173,838/x
  3. Step 3: Cross multiply
    129,446x = 173,838 × 173,838
  4. Step 4: Simplify right side
    129,446x = 30,219,650,244
  5. Step 5: Solve for x
    x = 30,219,650,244/129,446
  6. Step 6: Final answer
    x = 233,453.72

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.