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Finding the Third Proportional to 8,952.75 and 20,811.38

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Solution

The third proportional to 8,952.75 and 20,811.38 is: 48,377.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,952.75 : 20,811.38 = 20,811.38 : x
  2. Step 2: Convert to fraction form
    8,952.75/20,811.38 = 20,811.38/x
  3. Step 3: Cross multiply
    8,952.75x = 20,811.38 × 20,811.38
  4. Step 4: Simplify right side
    8,952.75x = 433,113,329.39
  5. Step 5: Solve for x
    x = 433,113,329.39/8,952.75
  6. Step 6: Final answer
    x = 48,377.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.