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Finding the Third Proportional to 6,409.13 and 8,641.69

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Solution

The third proportional to 6,409.13 and 8,641.69 is: 11,651.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409.13 : 8,641.69 = 8,641.69 : x
  2. Step 2: Convert to fraction form
    6,409.13/8,641.69 = 8,641.69/x
  3. Step 3: Cross multiply
    6,409.13x = 8,641.69 × 8,641.69
  4. Step 4: Simplify right side
    6,409.13x = 74,678,762.85
  5. Step 5: Solve for x
    x = 74,678,762.85/6,409.13
  6. Step 6: Final answer
    x = 11,651.94

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.