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Finding the Third Proportional to 257 and 337.50

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Solution

The third proportional to 257 and 337.50 is: 443.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    257 : 337.50 = 337.50 : x
  2. Step 2: Convert to fraction form
    257/337.50 = 337.50/x
  3. Step 3: Cross multiply
    257x = 337.50 × 337.50
  4. Step 4: Simplify right side
    257x = 113,906.25
  5. Step 5: Solve for x
    x = 113,906.25/257
  6. Step 6: Final answer
    x = 443.21

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.