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Finding the Third Proportional to 574.47 and 859.44

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Solution

The third proportional to 574.47 and 859.44 is: 1,285.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.47 : 859.44 = 859.44 : x
  2. Step 2: Convert to fraction form
    574.47/859.44 = 859.44/x
  3. Step 3: Cross multiply
    574.47x = 859.44 × 859.44
  4. Step 4: Simplify right side
    574.47x = 738,632.82
  5. Step 5: Solve for x
    x = 738,632.82/574.47
  6. Step 6: Final answer
    x = 1,285.77

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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.