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Finding the Third Proportional to 3,521.39 and 5,271.12

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Solution

The third proportional to 3,521.39 and 5,271.12 is: 7,890.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,521.39 : 5,271.12 = 5,271.12 : x
  2. Step 2: Convert to fraction form
    3,521.39/5,271.12 = 5,271.12/x
  3. Step 3: Cross multiply
    3,521.39x = 5,271.12 × 5,271.12
  4. Step 4: Simplify right side
    3,521.39x = 27,784,676.40
  5. Step 5: Solve for x
    x = 27,784,676.40/3,521.39
  6. Step 6: Final answer
    x = 7,890.26

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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.