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Finding the Third Proportional to 8,032.92 and 9,369.42

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Solution

The third proportional to 8,032.92 and 9,369.42 is: 10,928.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,032.92 : 9,369.42 = 9,369.42 : x
  2. Step 2: Convert to fraction form
    8,032.92/9,369.42 = 9,369.42/x
  3. Step 3: Cross multiply
    8,032.92x = 9,369.42 × 9,369.42
  4. Step 4: Simplify right side
    8,032.92x = 87,786,066.27
  5. Step 5: Solve for x
    x = 87,786,066.27/8,032.92
  6. Step 6: Final answer
    x = 10,928.29

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.