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Finding the Third Proportional to 1,240.87 and 1,832.47

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Solution

The third proportional to 1,240.87 and 1,832.47 is: 2,706.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,240.87 : 1,832.47 = 1,832.47 : x
  2. Step 2: Convert to fraction form
    1,240.87/1,832.47 = 1,832.47/x
  3. Step 3: Cross multiply
    1,240.87x = 1,832.47 × 1,832.47
  4. Step 4: Simplify right side
    1,240.87x = 3,357,934.56
  5. Step 5: Solve for x
    x = 3,357,934.56/1,240.87
  6. Step 6: Final answer
    x = 2,706.12

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.