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Finding the Third Proportional to 77.38 and 169.06

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Solution

The third proportional to 77.38 and 169.06 is: 369.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.38 : 169.06 = 169.06 : x
  2. Step 2: Convert to fraction form
    77.38/169.06 = 169.06/x
  3. Step 3: Cross multiply
    77.38x = 169.06 × 169.06
  4. Step 4: Simplify right side
    77.38x = 28,582.13
  5. Step 5: Solve for x
    x = 28,582.13/77.38
  6. Step 6: Final answer
    x = 369.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.