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Finding the Third Proportional to 270.57 and 583.86

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Solution

The third proportional to 270.57 and 583.86 is: 1,259.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.57 : 583.86 = 583.86 : x
  2. Step 2: Convert to fraction form
    270.57/583.86 = 583.86/x
  3. Step 3: Cross multiply
    270.57x = 583.86 × 583.86
  4. Step 4: Simplify right side
    270.57x = 340,891.77
  5. Step 5: Solve for x
    x = 340,891.77/270.57
  6. Step 6: Final answer
    x = 1,259.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.