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Finding the Third Proportional to 15,217.88 and 20,947.36

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Solution

The third proportional to 15,217.88 and 20,947.36 is: 28,833.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,217.88 : 20,947.36 = 20,947.36 : x
  2. Step 2: Convert to fraction form
    15,217.88/20,947.36 = 20,947.36/x
  3. Step 3: Cross multiply
    15,217.88x = 20,947.36 × 20,947.36
  4. Step 4: Simplify right side
    15,217.88x = 438,791,864.79
  5. Step 5: Solve for x
    x = 438,791,864.79/15,217.88
  6. Step 6: Final answer
    x = 28,833.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.