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Finding the Third Proportional to 12,790 and 20,359

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Solution

The third proportional to 12,790 and 20,359 is: 32,407.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,790 : 20,359 = 20,359 : x
  2. Step 2: Convert to fraction form
    12,790/20,359 = 20,359/x
  3. Step 3: Cross multiply
    12,790x = 20,359 × 20,359
  4. Step 4: Simplify right side
    12,790x = 414,488,881
  5. Step 5: Solve for x
    x = 414,488,881/12,790
  6. Step 6: Final answer
    x = 32,407.26

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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.