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Finding the Third Proportional to 638.06 and 1,401.47

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Solution

The third proportional to 638.06 and 1,401.47 is: 3,078.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.06 : 1,401.47 = 1,401.47 : x
  2. Step 2: Convert to fraction form
    638.06/1,401.47 = 1,401.47/x
  3. Step 3: Cross multiply
    638.06x = 1,401.47 × 1,401.47
  4. Step 4: Simplify right side
    638.06x = 1,964,114.66
  5. Step 5: Solve for x
    x = 1,964,114.66/638.06
  6. Step 6: Final answer
    x = 3,078.25

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.