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Finding the Third Proportional to 638.63 and 1,396.88

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Solution

The third proportional to 638.63 and 1,396.88 is: 3,055.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.63 : 1,396.88 = 1,396.88 : x
  2. Step 2: Convert to fraction form
    638.63/1,396.88 = 1,396.88/x
  3. Step 3: Cross multiply
    638.63x = 1,396.88 × 1,396.88
  4. Step 4: Simplify right side
    638.63x = 1,951,259.77
  5. Step 5: Solve for x
    x = 1,951,259.77/638.63
  6. Step 6: Final answer
    x = 3,055.41

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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.