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Finding the Third Proportional to 257.86 and 537.66

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Solution

The third proportional to 257.86 and 537.66 is: 1,121.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.86 : 537.66 = 537.66 : x
  2. Step 2: Convert to fraction form
    257.86/537.66 = 537.66/x
  3. Step 3: Cross multiply
    257.86x = 537.66 × 537.66
  4. Step 4: Simplify right side
    257.86x = 289,074.24
  5. Step 5: Solve for x
    x = 289,074.24/257.86
  6. Step 6: Final answer
    x = 1,121.05

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.