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Finding the Third Proportional to 9,447.38 and 20,595.56

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Solution

The third proportional to 9,447.38 and 20,595.56 is: 44,898.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,447.38 : 20,595.56 = 20,595.56 : x
  2. Step 2: Convert to fraction form
    9,447.38/20,595.56 = 20,595.56/x
  3. Step 3: Cross multiply
    9,447.38x = 20,595.56 × 20,595.56
  4. Step 4: Simplify right side
    9,447.38x = 424,177,194.69
  5. Step 5: Solve for x
    x = 424,177,194.69/9,447.38
  6. Step 6: Final answer
    x = 44,898.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.