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Finding the Third Proportional to 8,782 and 20,731

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Solution

The third proportional to 8,782 and 20,731 is: 48,938.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,782 : 20,731 = 20,731 : x
  2. Step 2: Convert to fraction form
    8,782/20,731 = 20,731/x
  3. Step 3: Cross multiply
    8,782x = 20,731 × 20,731
  4. Step 4: Simplify right side
    8,782x = 429,774,361
  5. Step 5: Solve for x
    x = 429,774,361/8,782
  6. Step 6: Final answer
    x = 48,938.10

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.