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Finding the Third Proportional to 12,460 and 20,634

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Solution

The third proportional to 12,460 and 20,634 is: 34,170.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,460 : 20,634 = 20,634 : x
  2. Step 2: Convert to fraction form
    12,460/20,634 = 20,634/x
  3. Step 3: Cross multiply
    12,460x = 20,634 × 20,634
  4. Step 4: Simplify right side
    12,460x = 425,761,956
  5. Step 5: Solve for x
    x = 425,761,956/12,460
  6. Step 6: Final answer
    x = 34,170.30

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.