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Finding the Third Proportional to 15,520 and 20,724

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Solution

The third proportional to 15,520 and 20,724 is: 27,672.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,520 : 20,724 = 20,724 : x
  2. Step 2: Convert to fraction form
    15,520/20,724 = 20,724/x
  3. Step 3: Cross multiply
    15,520x = 20,724 × 20,724
  4. Step 4: Simplify right side
    15,520x = 429,484,176
  5. Step 5: Solve for x
    x = 429,484,176/15,520
  6. Step 6: Final answer
    x = 27,672.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.