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Finding the Third Proportional to 3,277.13 and 7,733.25

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Solution

The third proportional to 3,277.13 and 7,733.25 is: 18,248.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,277.13 : 7,733.25 = 7,733.25 : x
  2. Step 2: Convert to fraction form
    3,277.13/7,733.25 = 7,733.25/x
  3. Step 3: Cross multiply
    3,277.13x = 7,733.25 × 7,733.25
  4. Step 4: Simplify right side
    3,277.13x = 59,803,155.56
  5. Step 5: Solve for x
    x = 59,803,155.56/3,277.13
  6. Step 6: Final answer
    x = 18,248.66

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.