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Finding the Third Proportional to 3,277.50 and 7,147.50

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Solution

The third proportional to 3,277.50 and 7,147.50 is: 15,587.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,277.50 : 7,147.50 = 7,147.50 : x
  2. Step 2: Convert to fraction form
    3,277.50/7,147.50 = 7,147.50/x
  3. Step 3: Cross multiply
    3,277.50x = 7,147.50 × 7,147.50
  4. Step 4: Simplify right side
    3,277.50x = 51,086,756.25
  5. Step 5: Solve for x
    x = 51,086,756.25/3,277.50
  6. Step 6: Final answer
    x = 15,587.11

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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.