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Finding the Third Proportional to 129,074 and 277,924

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Solution

The third proportional to 129,074 and 277,924 is: 598,429.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,074 : 277,924 = 277,924 : x
  2. Step 2: Convert to fraction form
    129,074/277,924 = 277,924/x
  3. Step 3: Cross multiply
    129,074x = 277,924 × 277,924
  4. Step 4: Simplify right side
    129,074x = 77,241,749,776
  5. Step 5: Solve for x
    x = 77,241,749,776/129,074
  6. Step 6: Final answer
    x = 598,429.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.