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Finding the Third Proportional to 574.25 and 1,257.95

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Solution

The third proportional to 574.25 and 1,257.95 is: 2,755.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.25 : 1,257.95 = 1,257.95 : x
  2. Step 2: Convert to fraction form
    574.25/1,257.95 = 1,257.95/x
  3. Step 3: Cross multiply
    574.25x = 1,257.95 × 1,257.95
  4. Step 4: Simplify right side
    574.25x = 1,582,443.61
  5. Step 5: Solve for x
    x = 1,582,443.61/574.25
  6. Step 6: Final answer
    x = 2,755.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.