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Finding the Third Proportional to 129,151 and 278,690

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Solution

The third proportional to 129,151 and 278,690 is: 601,374.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,151 : 278,690 = 278,690 : x
  2. Step 2: Convert to fraction form
    129,151/278,690 = 278,690/x
  3. Step 3: Cross multiply
    129,151x = 278,690 × 278,690
  4. Step 4: Simplify right side
    129,151x = 77,668,116,100
  5. Step 5: Solve for x
    x = 77,668,116,100/129,151
  6. Step 6: Final answer
    x = 601,374.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.