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Finding the Third Proportional to 5,266.69 and 8,217.28

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Solution

The third proportional to 5,266.69 and 8,217.28 is: 12,820.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,266.69 : 8,217.28 = 8,217.28 : x
  2. Step 2: Convert to fraction form
    5,266.69/8,217.28 = 8,217.28/x
  3. Step 3: Cross multiply
    5,266.69x = 8,217.28 × 8,217.28
  4. Step 4: Simplify right side
    5,266.69x = 67,523,711.14
  5. Step 5: Solve for x
    x = 67,523,711.14/5,266.69
  6. Step 6: Final answer
    x = 12,820.91

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