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Finding the Third Proportional to 162.13 and 251.19

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Solution

The third proportional to 162.13 and 251.19 is: 389.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.13 : 251.19 = 251.19 : x
  2. Step 2: Convert to fraction form
    162.13/251.19 = 251.19/x
  3. Step 3: Cross multiply
    162.13x = 251.19 × 251.19
  4. Step 4: Simplify right side
    162.13x = 63,095.16
  5. Step 5: Solve for x
    x = 63,095.16/162.13
  6. Step 6: Final answer
    x = 389.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.