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Finding the Third Proportional to 1,581.38 and 2,277.66

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Solution

The third proportional to 1,581.38 and 2,277.66 is: 3,280.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.38 : 2,277.66 = 2,277.66 : x
  2. Step 2: Convert to fraction form
    1,581.38/2,277.66 = 2,277.66/x
  3. Step 3: Cross multiply
    1,581.38x = 2,277.66 × 2,277.66
  4. Step 4: Simplify right side
    1,581.38x = 5,187,717.99
  5. Step 5: Solve for x
    x = 5,187,717.99/1,581.38
  6. Step 6: Final answer
    x = 3,280.51

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.