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Finding the Third Proportional to 72.62 and 158.99

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Solution

The third proportional to 72.62 and 158.99 is: 348.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.62 : 158.99 = 158.99 : x
  2. Step 2: Convert to fraction form
    72.62/158.99 = 158.99/x
  3. Step 3: Cross multiply
    72.62x = 158.99 × 158.99
  4. Step 4: Simplify right side
    72.62x = 25,279.14
  5. Step 5: Solve for x
    x = 25,279.14/72.62
  6. Step 6: Final answer
    x = 348.12

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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.