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Finding the Third Proportional to 19,679 and 29,217

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Solution

The third proportional to 19,679 and 29,217 is: 43,377.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,679 : 29,217 = 29,217 : x
  2. Step 2: Convert to fraction form
    19,679/29,217 = 29,217/x
  3. Step 3: Cross multiply
    19,679x = 29,217 × 29,217
  4. Step 4: Simplify right side
    19,679x = 853,633,089
  5. Step 5: Solve for x
    x = 853,633,089/19,679
  6. Step 6: Final answer
    x = 43,377.87

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.