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Finding the Third Proportional to 6,291.42 and 9,289.69

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Solution

The third proportional to 6,291.42 and 9,289.69 is: 13,716.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,291.42 : 9,289.69 = 9,289.69 : x
  2. Step 2: Convert to fraction form
    6,291.42/9,289.69 = 9,289.69/x
  3. Step 3: Cross multiply
    6,291.42x = 9,289.69 × 9,289.69
  4. Step 4: Simplify right side
    6,291.42x = 86,298,293.85
  5. Step 5: Solve for x
    x = 86,298,293.85/6,291.42
  6. Step 6: Final answer
    x = 13,716.82

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.