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Finding the Third Proportional to 68.98 and 143.65

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Solution

The third proportional to 68.98 and 143.65 is: 299.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.98 : 143.65 = 143.65 : x
  2. Step 2: Convert to fraction form
    68.98/143.65 = 143.65/x
  3. Step 3: Cross multiply
    68.98x = 143.65 × 143.65
  4. Step 4: Simplify right side
    68.98x = 20,634.87
  5. Step 5: Solve for x
    x = 20,634.87/68.98
  6. Step 6: Final answer
    x = 299.16

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.