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Finding the Third Proportional to 8,289 and 9,423

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Solution

The third proportional to 8,289 and 9,423 is: 10,712.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,289 : 9,423 = 9,423 : x
  2. Step 2: Convert to fraction form
    8,289/9,423 = 9,423/x
  3. Step 3: Cross multiply
    8,289x = 9,423 × 9,423
  4. Step 4: Simplify right side
    8,289x = 88,792,929
  5. Step 5: Solve for x
    x = 88,792,929/8,289
  6. Step 6: Final answer
    x = 10,712.14

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.