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Finding the Third Proportional to 574.59 and 812.39

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Solution

The third proportional to 574.59 and 812.39 is: 1,148.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.59 : 812.39 = 812.39 : x
  2. Step 2: Convert to fraction form
    574.59/812.39 = 812.39/x
  3. Step 3: Cross multiply
    574.59x = 812.39 × 812.39
  4. Step 4: Simplify right side
    574.59x = 659,978.53
  5. Step 5: Solve for x
    x = 659,978.53/574.59
  6. Step 6: Final answer
    x = 1,148.60

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.