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Finding the Third Proportional to 8,298 and 10,989

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Solution

The third proportional to 8,298 and 10,989 is: 14,552.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,298 : 10,989 = 10,989 : x
  2. Step 2: Convert to fraction form
    8,298/10,989 = 10,989/x
  3. Step 3: Cross multiply
    8,298x = 10,989 × 10,989
  4. Step 4: Simplify right side
    8,298x = 120,758,121
  5. Step 5: Solve for x
    x = 120,758,121/8,298
  6. Step 6: Final answer
    x = 14,552.68

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.