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Finding the Third Proportional to 291.88 and 638.59

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Solution

The third proportional to 291.88 and 638.59 is: 1,397.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.88 : 638.59 = 638.59 : x
  2. Step 2: Convert to fraction form
    291.88/638.59 = 638.59/x
  3. Step 3: Cross multiply
    291.88x = 638.59 × 638.59
  4. Step 4: Simplify right side
    291.88x = 407,793.25
  5. Step 5: Solve for x
    x = 407,793.25/291.88
  6. Step 6: Final answer
    x = 1,397.10

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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.