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Finding the Third Proportional to 77.38 and 120.13

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Solution

The third proportional to 77.38 and 120.13 is: 186.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.38 : 120.13 = 120.13 : x
  2. Step 2: Convert to fraction form
    77.38/120.13 = 120.13/x
  3. Step 3: Cross multiply
    77.38x = 120.13 × 120.13
  4. Step 4: Simplify right side
    77.38x = 14,430.02
  5. Step 5: Solve for x
    x = 14,430.02/77.38
  6. Step 6: Final answer
    x = 186.49

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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.