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Finding the Third Proportional to 3,647.85 and 7,991.95

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Solution

The third proportional to 3,647.85 and 7,991.95 is: 17,509.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,647.85 : 7,991.95 = 7,991.95 : x
  2. Step 2: Convert to fraction form
    3,647.85/7,991.95 = 7,991.95/x
  3. Step 3: Cross multiply
    3,647.85x = 7,991.95 × 7,991.95
  4. Step 4: Simplify right side
    3,647.85x = 63,871,221.10
  5. Step 5: Solve for x
    x = 63,871,221.10/3,647.85
  6. Step 6: Final answer
    x = 17,509.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.