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Finding the Third Proportional to 21,478 and 34,169

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Solution

The third proportional to 21,478 and 34,169 is: 54,358.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,478 : 34,169 = 34,169 : x
  2. Step 2: Convert to fraction form
    21,478/34,169 = 34,169/x
  3. Step 3: Cross multiply
    21,478x = 34,169 × 34,169
  4. Step 4: Simplify right side
    21,478x = 1,167,520,561
  5. Step 5: Solve for x
    x = 1,167,520,561/21,478
  6. Step 6: Final answer
    x = 54,358.90

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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.