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Finding the Third Proportional to 558.50 and 871.25

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Solution

The third proportional to 558.50 and 871.25 is: 1,359.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.50 : 871.25 = 871.25 : x
  2. Step 2: Convert to fraction form
    558.50/871.25 = 871.25/x
  3. Step 3: Cross multiply
    558.50x = 871.25 × 871.25
  4. Step 4: Simplify right side
    558.50x = 759,076.56
  5. Step 5: Solve for x
    x = 759,076.56/558.50
  6. Step 6: Final answer
    x = 1,359.13

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.