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Finding the Third Proportional to 7,647.68 and 10,769.84

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Solution

The third proportional to 7,647.68 and 10,769.84 is: 15,166.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,647.68 : 10,769.84 = 10,769.84 : x
  2. Step 2: Convert to fraction form
    7,647.68/10,769.84 = 10,769.84/x
  3. Step 3: Cross multiply
    7,647.68x = 10,769.84 × 10,769.84
  4. Step 4: Simplify right side
    7,647.68x = 115,989,366.12
  5. Step 5: Solve for x
    x = 115,989,366.12/7,647.68
  6. Step 6: Final answer
    x = 15,166.61

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.