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Finding the Third Proportional to 7,288 and 8,872

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Solution

The third proportional to 7,288 and 8,872 is: 10,800.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,288 : 8,872 = 8,872 : x
  2. Step 2: Convert to fraction form
    7,288/8,872 = 8,872/x
  3. Step 3: Cross multiply
    7,288x = 8,872 × 8,872
  4. Step 4: Simplify right side
    7,288x = 78,712,384
  5. Step 5: Solve for x
    x = 78,712,384/7,288
  6. Step 6: Final answer
    x = 10,800.27

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.