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Finding the Third Proportional to 5,952 and 8,401.50

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Solution

The third proportional to 5,952 and 8,401.50 is: 11,859.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,952 : 8,401.50 = 8,401.50 : x
  2. Step 2: Convert to fraction form
    5,952/8,401.50 = 8,401.50/x
  3. Step 3: Cross multiply
    5,952x = 8,401.50 × 8,401.50
  4. Step 4: Simplify right side
    5,952x = 70,585,202.25
  5. Step 5: Solve for x
    x = 70,585,202.25/5,952
  6. Step 6: Final answer
    x = 11,859.07

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.