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Finding the Third Proportional to 21,698 and 29,372

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Solution

The third proportional to 21,698 and 29,372 is: 39,760.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,698 : 29,372 = 29,372 : x
  2. Step 2: Convert to fraction form
    21,698/29,372 = 29,372/x
  3. Step 3: Cross multiply
    21,698x = 29,372 × 29,372
  4. Step 4: Simplify right side
    21,698x = 862,714,384
  5. Step 5: Solve for x
    x = 862,714,384/21,698
  6. Step 6: Final answer
    x = 39,760.09

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.