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Finding the Third Proportional to 257.75 and 452.88

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Solution

The third proportional to 257.75 and 452.88 is: 795.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.75 : 452.88 = 452.88 : x
  2. Step 2: Convert to fraction form
    257.75/452.88 = 452.88/x
  3. Step 3: Cross multiply
    257.75x = 452.88 × 452.88
  4. Step 4: Simplify right side
    257.75x = 205,095.77
  5. Step 5: Solve for x
    x = 205,095.77/257.75
  6. Step 6: Final answer
    x = 795.72

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.