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Finding the Third Proportional to 155.74 and 386.86

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Solution

The third proportional to 155.74 and 386.86 is: 960.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.74 : 386.86 = 386.86 : x
  2. Step 2: Convert to fraction form
    155.74/386.86 = 386.86/x
  3. Step 3: Cross multiply
    155.74x = 386.86 × 386.86
  4. Step 4: Simplify right side
    155.74x = 149,660.18
  5. Step 5: Solve for x
    x = 149,660.18/155.74
  6. Step 6: Final answer
    x = 960.95

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Why These Related Problems?

These problems maintain the same ratio (2.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.