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Finding the Third Proportional to 8,489 and 9,137

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Solution

The third proportional to 8,489 and 9,137 is: 9,834.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,489 : 9,137 = 9,137 : x
  2. Step 2: Convert to fraction form
    8,489/9,137 = 9,137/x
  3. Step 3: Cross multiply
    8,489x = 9,137 × 9,137
  4. Step 4: Simplify right side
    8,489x = 83,484,769
  5. Step 5: Solve for x
    x = 83,484,769/8,489
  6. Step 6: Final answer
    x = 9,834.46

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.