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Finding the Third Proportional to 8,311.78 and 12,775.22

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Solution

The third proportional to 8,311.78 and 12,775.22 is: 19,635.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,311.78 : 12,775.22 = 12,775.22 : x
  2. Step 2: Convert to fraction form
    8,311.78/12,775.22 = 12,775.22/x
  3. Step 3: Cross multiply
    8,311.78x = 12,775.22 × 12,775.22
  4. Step 4: Simplify right side
    8,311.78x = 163,206,214.11
  5. Step 5: Solve for x
    x = 163,206,214.11/8,311.78
  6. Step 6: Final answer
    x = 19,635.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.