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Finding the Third Proportional to 293.72 and 638.05

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Solution

The third proportional to 293.72 and 638.05 is: 1,386.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.72 : 638.05 = 638.05 : x
  2. Step 2: Convert to fraction form
    293.72/638.05 = 638.05/x
  3. Step 3: Cross multiply
    293.72x = 638.05 × 638.05
  4. Step 4: Simplify right side
    293.72x = 407,103.81
  5. Step 5: Solve for x
    x = 407,103.81/293.72
  6. Step 6: Final answer
    x = 1,386.03

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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.