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Finding the Third Proportional to 638.13 and 945.13

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Solution

The third proportional to 638.13 and 945.13 is: 1,399.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.13 : 945.13 = 945.13 : x
  2. Step 2: Convert to fraction form
    638.13/945.13 = 945.13/x
  3. Step 3: Cross multiply
    638.13x = 945.13 × 945.13
  4. Step 4: Simplify right side
    638.13x = 893,261.27
  5. Step 5: Solve for x
    x = 893,261.27/638.13
  6. Step 6: Final answer
    x = 1,399.82

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.