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Finding the Third Proportional to 7,791.50 and 10,644.88

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Solution

The third proportional to 7,791.50 and 10,644.88 is: 14,543.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,791.50 : 10,644.88 = 10,644.88 : x
  2. Step 2: Convert to fraction form
    7,791.50/10,644.88 = 10,644.88/x
  3. Step 3: Cross multiply
    7,791.50x = 10,644.88 × 10,644.88
  4. Step 4: Simplify right side
    7,791.50x = 113,313,363.77
  5. Step 5: Solve for x
    x = 113,313,363.77/7,791.50
  6. Step 6: Final answer
    x = 14,543.20

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.