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Finding the Third Proportional to 155.74 and 221.45

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Solution

The third proportional to 155.74 and 221.45 is: 314.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.74 : 221.45 = 221.45 : x
  2. Step 2: Convert to fraction form
    155.74/221.45 = 221.45/x
  3. Step 3: Cross multiply
    155.74x = 221.45 × 221.45
  4. Step 4: Simplify right side
    155.74x = 49,039.76
  5. Step 5: Solve for x
    x = 49,039.76/155.74
  6. Step 6: Final answer
    x = 314.88

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.