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Finding the Third Proportional to 638.05 and 1,405.32

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Solution

The third proportional to 638.05 and 1,405.32 is: 3,095.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.05 : 1,405.32 = 1,405.32 : x
  2. Step 2: Convert to fraction form
    638.05/1,405.32 = 1,405.32/x
  3. Step 3: Cross multiply
    638.05x = 1,405.32 × 1,405.32
  4. Step 4: Simplify right side
    638.05x = 1,974,919.69
  5. Step 5: Solve for x
    x = 1,974,919.69/638.05
  6. Step 6: Final answer
    x = 3,095.23

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Why These Related Problems?

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