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Finding the Third Proportional to 35.12 and 72.62

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Solution

The third proportional to 35.12 and 72.62 is: 150.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.12 : 72.62 = 72.62 : x
  2. Step 2: Convert to fraction form
    35.12/72.62 = 72.62/x
  3. Step 3: Cross multiply
    35.12x = 72.62 × 72.62
  4. Step 4: Simplify right side
    35.12x = 5,272.97
  5. Step 5: Solve for x
    x = 5,272.97/35.12
  6. Step 6: Final answer
    x = 150.14

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.