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Finding the Third Proportional to 7,880 and 12,226

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Solution

The third proportional to 7,880 and 12,226 is: 18,968.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,880 : 12,226 = 12,226 : x
  2. Step 2: Convert to fraction form
    7,880/12,226 = 12,226/x
  3. Step 3: Cross multiply
    7,880x = 12,226 × 12,226
  4. Step 4: Simplify right side
    7,880x = 149,475,076
  5. Step 5: Solve for x
    x = 149,475,076/7,880
  6. Step 6: Final answer
    x = 18,968.92

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.