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Finding the Third Proportional to 162.14 and 257.20

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Solution

The third proportional to 162.14 and 257.20 is: 408.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.14 : 257.20 = 257.20 : x
  2. Step 2: Convert to fraction form
    162.14/257.20 = 257.20/x
  3. Step 3: Cross multiply
    162.14x = 257.20 × 257.20
  4. Step 4: Simplify right side
    162.14x = 66,153.45
  5. Step 5: Solve for x
    x = 66,153.45/162.14
  6. Step 6: Final answer
    x = 408.00

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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.