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Finding the Third Proportional to 3,438.07 and 5,155.21

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Solution

The third proportional to 3,438.07 and 5,155.21 is: 7,729.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,438.07 : 5,155.21 = 5,155.21 : x
  2. Step 2: Convert to fraction form
    3,438.07/5,155.21 = 5,155.21/x
  3. Step 3: Cross multiply
    3,438.07x = 5,155.21 × 5,155.21
  4. Step 4: Simplify right side
    3,438.07x = 26,576,159.54
  5. Step 5: Solve for x
    x = 26,576,159.54/3,438.07
  6. Step 6: Final answer
    x = 7,729.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.