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Finding the Third Proportional to 5,739.75 and 6,387.75

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Solution

The third proportional to 5,739.75 and 6,387.75 is: 7,108.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,739.75 : 6,387.75 = 6,387.75 : x
  2. Step 2: Convert to fraction form
    5,739.75/6,387.75 = 6,387.75/x
  3. Step 3: Cross multiply
    5,739.75x = 6,387.75 × 6,387.75
  4. Step 4: Simplify right side
    5,739.75x = 40,803,350.06
  5. Step 5: Solve for x
    x = 40,803,350.06/5,739.75
  6. Step 6: Final answer
    x = 7,108.91

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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.