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Finding the Third Proportional to 139.84 and 305.66

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Solution

The third proportional to 139.84 and 305.66 is: 668.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.84 : 305.66 = 305.66 : x
  2. Step 2: Convert to fraction form
    139.84/305.66 = 305.66/x
  3. Step 3: Cross multiply
    139.84x = 305.66 × 305.66
  4. Step 4: Simplify right side
    139.84x = 93,425.74
  5. Step 5: Solve for x
    x = 93,425.74/139.84
  6. Step 6: Final answer
    x = 668.07

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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.