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Finding the Third Proportional to 871.94 and 1,243.13

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Solution

The third proportional to 871.94 and 1,243.13 is: 1,772.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.94 : 1,243.13 = 1,243.13 : x
  2. Step 2: Convert to fraction form
    871.94/1,243.13 = 1,243.13/x
  3. Step 3: Cross multiply
    871.94x = 1,243.13 × 1,243.13
  4. Step 4: Simplify right side
    871.94x = 1,545,359.77
  5. Step 5: Solve for x
    x = 1,545,359.77/871.94
  6. Step 6: Final answer
    x = 1,772.33

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.