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Finding the Third Proportional to 70.84 and 155.19

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Solution

The third proportional to 70.84 and 155.19 is: 339.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.84 : 155.19 = 155.19 : x
  2. Step 2: Convert to fraction form
    70.84/155.19 = 155.19/x
  3. Step 3: Cross multiply
    70.84x = 155.19 × 155.19
  4. Step 4: Simplify right side
    70.84x = 24,083.16
  5. Step 5: Solve for x
    x = 24,083.16/70.84
  6. Step 6: Final answer
    x = 339.95

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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.