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Finding the Third Proportional to 139.31 and 305.63

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Solution

The third proportional to 139.31 and 305.63 is: 670.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.31 : 305.63 = 305.63 : x
  2. Step 2: Convert to fraction form
    139.31/305.63 = 305.63/x
  3. Step 3: Cross multiply
    139.31x = 305.63 × 305.63
  4. Step 4: Simplify right side
    139.31x = 93,406.64
  5. Step 5: Solve for x
    x = 93,406.64/139.31
  6. Step 6: Final answer
    x = 670.48

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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.