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Finding the Third Proportional to 7,420 and 8,068

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Solution

The third proportional to 7,420 and 8,068 is: 8,772.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,420 : 8,068 = 8,068 : x
  2. Step 2: Convert to fraction form
    7,420/8,068 = 8,068/x
  3. Step 3: Cross multiply
    7,420x = 8,068 × 8,068
  4. Step 4: Simplify right side
    7,420x = 65,092,624
  5. Step 5: Solve for x
    x = 65,092,624/7,420
  6. Step 6: Final answer
    x = 8,772.59

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.