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Finding the Third Proportional to 15,340.50 and 20,472.75

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Solution

The third proportional to 15,340.50 and 20,472.75 is: 27,322.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,340.50 : 20,472.75 = 20,472.75 : x
  2. Step 2: Convert to fraction form
    15,340.50/20,472.75 = 20,472.75/x
  3. Step 3: Cross multiply
    15,340.50x = 20,472.75 × 20,472.75
  4. Step 4: Simplify right side
    15,340.50x = 419,133,492.56
  5. Step 5: Solve for x
    x = 419,133,492.56/15,340.50
  6. Step 6: Final answer
    x = 27,322.02

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.