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Finding the Third Proportional to 871.88 and 2,122.31

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Solution

The third proportional to 871.88 and 2,122.31 is: 5,166.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.88 : 2,122.31 = 2,122.31 : x
  2. Step 2: Convert to fraction form
    871.88/2,122.31 = 2,122.31/x
  3. Step 3: Cross multiply
    871.88x = 2,122.31 × 2,122.31
  4. Step 4: Simplify right side
    871.88x = 4,504,210.35
  5. Step 5: Solve for x
    x = 4,504,210.35/871.88
  6. Step 6: Final answer
    x = 5,166.12

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.