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Finding the Third Proportional to 10,290 and 11,442

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Solution

The third proportional to 10,290 and 11,442 is: 12,722.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,290 : 11,442 = 11,442 : x
  2. Step 2: Convert to fraction form
    10,290/11,442 = 11,442/x
  3. Step 3: Cross multiply
    10,290x = 11,442 × 11,442
  4. Step 4: Simplify right side
    10,290x = 130,919,364
  5. Step 5: Solve for x
    x = 130,919,364/10,290
  6. Step 6: Final answer
    x = 12,722.97

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.