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Finding the Third Proportional to 141.54 and 305.86

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Solution

The third proportional to 141.54 and 305.86 is: 660.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.54 : 305.86 = 305.86 : x
  2. Step 2: Convert to fraction form
    141.54/305.86 = 305.86/x
  3. Step 3: Cross multiply
    141.54x = 305.86 × 305.86
  4. Step 4: Simplify right side
    141.54x = 93,549.96
  5. Step 5: Solve for x
    x = 93,549.96/141.54
  6. Step 6: Final answer
    x = 660.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.