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Finding the Third Proportional to 6,115.50 and 7,953.19

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Solution

The third proportional to 6,115.50 and 7,953.19 is: 10,343.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,115.50 : 7,953.19 = 7,953.19 : x
  2. Step 2: Convert to fraction form
    6,115.50/7,953.19 = 7,953.19/x
  3. Step 3: Cross multiply
    6,115.50x = 7,953.19 × 7,953.19
  4. Step 4: Simplify right side
    6,115.50x = 63,253,191.41
  5. Step 5: Solve for x
    x = 63,253,191.41/6,115.50
  6. Step 6: Final answer
    x = 10,343.09

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.