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Finding the Third Proportional to 20,000 and 25,581

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Solution

The third proportional to 20,000 and 25,581 is: 32,719.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,000 : 25,581 = 25,581 : x
  2. Step 2: Convert to fraction form
    20,000/25,581 = 25,581/x
  3. Step 3: Cross multiply
    20,000x = 25,581 × 25,581
  4. Step 4: Simplify right side
    20,000x = 654,387,561
  5. Step 5: Solve for x
    x = 654,387,561/20,000
  6. Step 6: Final answer
    x = 32,719.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.