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Finding the Third Proportional to 257.44 and 532.88

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Solution

The third proportional to 257.44 and 532.88 is: 1,103.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.44 : 532.88 = 532.88 : x
  2. Step 2: Convert to fraction form
    257.44/532.88 = 532.88/x
  3. Step 3: Cross multiply
    257.44x = 532.88 × 532.88
  4. Step 4: Simplify right side
    257.44x = 283,955.77
  5. Step 5: Solve for x
    x = 283,955.77/257.44
  6. Step 6: Final answer
    x = 1,103.01

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.