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Finding the Third Proportional to 9,782 and 20,778.50

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Solution

The third proportional to 9,782 and 20,778.50 is: 44,136.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,782 : 20,778.50 = 20,778.50 : x
  2. Step 2: Convert to fraction form
    9,782/20,778.50 = 20,778.50/x
  3. Step 3: Cross multiply
    9,782x = 20,778.50 × 20,778.50
  4. Step 4: Simplify right side
    9,782x = 431,746,062.25
  5. Step 5: Solve for x
    x = 431,746,062.25/9,782
  6. Step 6: Final answer
    x = 44,136.79

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.