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Finding the Third Proportional to 161.60 and 257.00

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Solution

The third proportional to 161.60 and 257.00 is: 408.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.60 : 257.00 = 257.00 : x
  2. Step 2: Convert to fraction form
    161.60/257.00 = 257.00/x
  3. Step 3: Cross multiply
    161.60x = 257.00 × 257.00
  4. Step 4: Simplify right side
    161.60x = 66,049.50
  5. Step 5: Solve for x
    x = 66,049.50/161.60
  6. Step 6: Final answer
    x = 408.71

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.