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Finding the Third Proportional to 7,139 and 8,327

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Solution

The third proportional to 7,139 and 8,327 is: 9,712.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,139 : 8,327 = 8,327 : x
  2. Step 2: Convert to fraction form
    7,139/8,327 = 8,327/x
  3. Step 3: Cross multiply
    7,139x = 8,327 × 8,327
  4. Step 4: Simplify right side
    7,139x = 69,338,929
  5. Step 5: Solve for x
    x = 69,338,929/7,139
  6. Step 6: Final answer
    x = 9,712.69

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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.