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Finding the Third Proportional to 7,165.97 and 9,289.69

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Solution

The third proportional to 7,165.97 and 9,289.69 is: 12,042.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,165.97 : 9,289.69 = 9,289.69 : x
  2. Step 2: Convert to fraction form
    7,165.97/9,289.69 = 9,289.69/x
  3. Step 3: Cross multiply
    7,165.97x = 9,289.69 × 9,289.69
  4. Step 4: Simplify right side
    7,165.97x = 86,298,293.85
  5. Step 5: Solve for x
    x = 86,298,293.85/7,165.97
  6. Step 6: Final answer
    x = 12,042.80

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.