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Finding the Third Proportional to 162.42 and 254.92

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Solution

The third proportional to 162.42 and 254.92 is: 400.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.42 : 254.92 = 254.92 : x
  2. Step 2: Convert to fraction form
    162.42/254.92 = 254.92/x
  3. Step 3: Cross multiply
    162.42x = 254.92 × 254.92
  4. Step 4: Simplify right side
    162.42x = 64,983.17
  5. Step 5: Solve for x
    x = 64,983.17/162.42
  6. Step 6: Final answer
    x = 400.09

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.