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Finding the Third Proportional to 574.74 and 862.10

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Solution

The third proportional to 574.74 and 862.10 is: 1,293.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.74 : 862.10 = 862.10 : x
  2. Step 2: Convert to fraction form
    574.74/862.10 = 862.10/x
  3. Step 3: Cross multiply
    574.74x = 862.10 × 862.10
  4. Step 4: Simplify right side
    574.74x = 743,222.61
  5. Step 5: Solve for x
    x = 743,222.61/574.74
  6. Step 6: Final answer
    x = 1,293.16

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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.