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Finding the Third Proportional to 70.81 and 155.13

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Solution

The third proportional to 70.81 and 155.13 is: 339.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.81 : 155.13 = 155.13 : x
  2. Step 2: Convert to fraction form
    70.81/155.13 = 155.13/x
  3. Step 3: Cross multiply
    70.81x = 155.13 × 155.13
  4. Step 4: Simplify right side
    70.81x = 24,063.77
  5. Step 5: Solve for x
    x = 24,063.77/70.81
  6. Step 6: Final answer
    x = 339.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.