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Finding the Third Proportional to 6,459.75 and 7,393.78

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Solution

The third proportional to 6,459.75 and 7,393.78 is: 8,462.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,459.75 : 7,393.78 = 7,393.78 : x
  2. Step 2: Convert to fraction form
    6,459.75/7,393.78 = 7,393.78/x
  3. Step 3: Cross multiply
    6,459.75x = 7,393.78 × 7,393.78
  4. Step 4: Simplify right side
    6,459.75x = 54,668,001.17
  5. Step 5: Solve for x
    x = 54,668,001.17/6,459.75
  6. Step 6: Final answer
    x = 8,462.87

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.