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Finding the Third Proportional to 885.94 and 1,240.31

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Solution

The third proportional to 885.94 and 1,240.31 is: 1,736.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.94 : 1,240.31 = 1,240.31 : x
  2. Step 2: Convert to fraction form
    885.94/1,240.31 = 1,240.31/x
  3. Step 3: Cross multiply
    885.94x = 1,240.31 × 1,240.31
  4. Step 4: Simplify right side
    885.94x = 1,538,375.10
  5. Step 5: Solve for x
    x = 1,538,375.10/885.94
  6. Step 6: Final answer
    x = 1,736.44

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.