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Finding the Third Proportional to 12,800 and 29,924

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Solution

The third proportional to 12,800 and 29,924 is: 69,956.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,800 : 29,924 = 29,924 : x
  2. Step 2: Convert to fraction form
    12,800/29,924 = 29,924/x
  3. Step 3: Cross multiply
    12,800x = 29,924 × 29,924
  4. Step 4: Simplify right side
    12,800x = 895,445,776
  5. Step 5: Solve for x
    x = 895,445,776/12,800
  6. Step 6: Final answer
    x = 69,956.70

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.