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Finding the Third Proportional to 6,409.13 and 7,658.30

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Solution

The third proportional to 6,409.13 and 7,658.30 is: 9,150.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409.13 : 7,658.30 = 7,658.30 : x
  2. Step 2: Convert to fraction form
    6,409.13/7,658.30 = 7,658.30/x
  3. Step 3: Cross multiply
    6,409.13x = 7,658.30 × 7,658.30
  4. Step 4: Simplify right side
    6,409.13x = 58,649,511.03
  5. Step 5: Solve for x
    x = 58,649,511.03/6,409.13
  6. Step 6: Final answer
    x = 9,150.94

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Why These Related Problems?

These problems maintain the same ratio (1.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.