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Finding the Third Proportional to 139.92 and 307.78

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Solution

The third proportional to 139.92 and 307.78 is: 677.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.92 : 307.78 = 307.78 : x
  2. Step 2: Convert to fraction form
    139.92/307.78 = 307.78/x
  3. Step 3: Cross multiply
    139.92x = 307.78 × 307.78
  4. Step 4: Simplify right side
    139.92x = 94,729.30
  5. Step 5: Solve for x
    x = 94,729.30/139.92
  6. Step 6: Final answer
    x = 677.02

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.