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Finding the Third Proportional to 15,001 and 20,421

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Solution

The third proportional to 15,001 and 20,421 is: 27,799.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,001 : 20,421 = 20,421 : x
  2. Step 2: Convert to fraction form
    15,001/20,421 = 20,421/x
  3. Step 3: Cross multiply
    15,001x = 20,421 × 20,421
  4. Step 4: Simplify right side
    15,001x = 417,017,241
  5. Step 5: Solve for x
    x = 417,017,241/15,001
  6. Step 6: Final answer
    x = 27,799.30

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.