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Finding the Third Proportional to 15,294 and 20,637

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Solution

The third proportional to 15,294 and 20,637 is: 27,846.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,294 : 20,637 = 20,637 : x
  2. Step 2: Convert to fraction form
    15,294/20,637 = 20,637/x
  3. Step 3: Cross multiply
    15,294x = 20,637 × 20,637
  4. Step 4: Simplify right side
    15,294x = 425,885,769
  5. Step 5: Solve for x
    x = 425,885,769/15,294
  6. Step 6: Final answer
    x = 27,846.59

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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.