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Finding the Third Proportional to 573.20 and 861.06

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Solution

The third proportional to 573.20 and 861.06 is: 1,293.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.20 : 861.06 = 861.06 : x
  2. Step 2: Convert to fraction form
    573.20/861.06 = 861.06/x
  3. Step 3: Cross multiply
    573.20x = 861.06 × 861.06
  4. Step 4: Simplify right side
    573.20x = 741,424.42
  5. Step 5: Solve for x
    x = 741,424.42/573.20
  6. Step 6: Final answer
    x = 1,293.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.