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Finding the Third Proportional to 6,571.13 and 7,315.31

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Solution

The third proportional to 6,571.13 and 7,315.31 is: 8,143.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,571.13 : 7,315.31 = 7,315.31 : x
  2. Step 2: Convert to fraction form
    6,571.13/7,315.31 = 7,315.31/x
  3. Step 3: Cross multiply
    6,571.13x = 7,315.31 × 7,315.31
  4. Step 4: Simplify right side
    6,571.13x = 53,513,796.97
  5. Step 5: Solve for x
    x = 53,513,796.97/6,571.13
  6. Step 6: Final answer
    x = 8,143.78

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.