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Finding the Third Proportional to 8,519 and 9,287

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Solution

The third proportional to 8,519 and 9,287 is: 10,124.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,519 : 9,287 = 9,287 : x
  2. Step 2: Convert to fraction form
    8,519/9,287 = 9,287/x
  3. Step 3: Cross multiply
    8,519x = 9,287 × 9,287
  4. Step 4: Simplify right side
    8,519x = 86,248,369
  5. Step 5: Solve for x
    x = 86,248,369/8,519
  6. Step 6: Final answer
    x = 10,124.24

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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.