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Finding the Third Proportional to 399.09 and 1,038.23

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Solution

The third proportional to 399.09 and 1,038.23 is: 2,700.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.09 : 1,038.23 = 1,038.23 : x
  2. Step 2: Convert to fraction form
    399.09/1,038.23 = 1,038.23/x
  3. Step 3: Cross multiply
    399.09x = 1,038.23 × 1,038.23
  4. Step 4: Simplify right side
    399.09x = 1,077,930.62
  5. Step 5: Solve for x
    x = 1,077,930.62/399.09
  6. Step 6: Final answer
    x = 2,700.95

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Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.