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Finding the Third Proportional to 293.55 and 638.11

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Solution

The third proportional to 293.55 and 638.11 is: 1,387.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.55 : 638.11 = 638.11 : x
  2. Step 2: Convert to fraction form
    293.55/638.11 = 638.11/x
  3. Step 3: Cross multiply
    293.55x = 638.11 × 638.11
  4. Step 4: Simplify right side
    293.55x = 407,187.31
  5. Step 5: Solve for x
    x = 407,187.31/293.55
  6. Step 6: Final answer
    x = 1,387.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.