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Finding the Third Proportional to 257.84 and 566.93

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Solution

The third proportional to 257.84 and 566.93 is: 1,246.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.84 : 566.93 = 566.93 : x
  2. Step 2: Convert to fraction form
    257.84/566.93 = 566.93/x
  3. Step 3: Cross multiply
    257.84x = 566.93 × 566.93
  4. Step 4: Simplify right side
    257.84x = 321,409.27
  5. Step 5: Solve for x
    x = 321,409.27/257.84
  6. Step 6: Final answer
    x = 1,246.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.