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Finding the Third Proportional to 1,538.30 and 3,358.41

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Solution

The third proportional to 1,538.30 and 3,358.41 is: 7,332.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.30 : 3,358.41 = 3,358.41 : x
  2. Step 2: Convert to fraction form
    1,538.30/3,358.41 = 3,358.41/x
  3. Step 3: Cross multiply
    1,538.30x = 3,358.41 × 3,358.41
  4. Step 4: Simplify right side
    1,538.30x = 11,278,892.54
  5. Step 5: Solve for x
    x = 11,278,892.54/1,538.30
  6. Step 6: Final answer
    x = 7,332.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.