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Finding the Third Proportional to 142.38 and 219.98

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Solution

The third proportional to 142.38 and 219.98 is: 339.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.38 : 219.98 = 219.98 : x
  2. Step 2: Convert to fraction form
    142.38/219.98 = 219.98/x
  3. Step 3: Cross multiply
    142.38x = 219.98 × 219.98
  4. Step 4: Simplify right side
    142.38x = 48,391.84
  5. Step 5: Solve for x
    x = 48,391.84/142.38
  6. Step 6: Final answer
    x = 339.87

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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.