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Finding the Third Proportional to 102.69 and 158.97

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Solution

The third proportional to 102.69 and 158.97 is: 246.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.69 : 158.97 = 158.97 : x
  2. Step 2: Convert to fraction form
    102.69/158.97 = 158.97/x
  3. Step 3: Cross multiply
    102.69x = 158.97 × 158.97
  4. Step 4: Simplify right side
    102.69x = 25,271.06
  5. Step 5: Solve for x
    x = 25,271.06/102.69
  6. Step 6: Final answer
    x = 246.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.