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Finding the Third Proportional to 5,320.69 and 8,294.91

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Solution

The third proportional to 5,320.69 and 8,294.91 is: 12,931.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,320.69 : 8,294.91 = 8,294.91 : x
  2. Step 2: Convert to fraction form
    5,320.69/8,294.91 = 8,294.91/x
  3. Step 3: Cross multiply
    5,320.69x = 8,294.91 × 8,294.91
  4. Step 4: Simplify right side
    5,320.69x = 68,805,469.70
  5. Step 5: Solve for x
    x = 68,805,469.70/5,320.69
  6. Step 6: Final answer
    x = 12,931.69

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.