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Finding the Third Proportional to 3,752.50 and 8,165.50

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Solution

The third proportional to 3,752.50 and 8,165.50 is: 17,768.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,752.50 : 8,165.50 = 8,165.50 : x
  2. Step 2: Convert to fraction form
    3,752.50/8,165.50 = 8,165.50/x
  3. Step 3: Cross multiply
    3,752.50x = 8,165.50 × 8,165.50
  4. Step 4: Simplify right side
    3,752.50x = 66,675,390.25
  5. Step 5: Solve for x
    x = 66,675,390.25/3,752.50
  6. Step 6: Final answer
    x = 17,768.26

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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.