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Finding the Third Proportional to 138.31 and 294.63

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Solution

The third proportional to 138.31 and 294.63 is: 627.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.31 : 294.63 = 294.63 : x
  2. Step 2: Convert to fraction form
    138.31/294.63 = 294.63/x
  3. Step 3: Cross multiply
    138.31x = 294.63 × 294.63
  4. Step 4: Simplify right side
    138.31x = 86,803.89
  5. Step 5: Solve for x
    x = 86,803.89/138.31
  6. Step 6: Final answer
    x = 627.59

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.