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Finding the Third Proportional to 29.38 and 79.38

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Solution

The third proportional to 29.38 and 79.38 is: 214.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.38 : 79.38 = 79.38 : x
  2. Step 2: Convert to fraction form
    29.38/79.38 = 79.38/x
  3. Step 3: Cross multiply
    29.38x = 79.38 × 79.38
  4. Step 4: Simplify right side
    29.38x = 6,300.39
  5. Step 5: Solve for x
    x = 6,300.39/29.38
  6. Step 6: Final answer
    x = 214.48

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Why These Related Problems?

These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.