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Finding the Third Proportional to 21,534 and 29,087

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Solution

The third proportional to 21,534 and 29,087 is: 39,289.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,534 : 29,087 = 29,087 : x
  2. Step 2: Convert to fraction form
    21,534/29,087 = 29,087/x
  3. Step 3: Cross multiply
    21,534x = 29,087 × 29,087
  4. Step 4: Simplify right side
    21,534x = 846,053,569
  5. Step 5: Solve for x
    x = 846,053,569/21,534
  6. Step 6: Final answer
    x = 39,289.20

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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.