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Finding the Third Proportional to 70.98 and 155.14

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Solution

The third proportional to 70.98 and 155.14 is: 339.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.98 : 155.14 = 155.14 : x
  2. Step 2: Convert to fraction form
    70.98/155.14 = 155.14/x
  3. Step 3: Cross multiply
    70.98x = 155.14 × 155.14
  4. Step 4: Simplify right side
    70.98x = 24,069.83
  5. Step 5: Solve for x
    x = 24,069.83/70.98
  6. Step 6: Final answer
    x = 339.10

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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.