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Finding the Third Proportional to 3,763.50 and 8,221

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Solution

The third proportional to 3,763.50 and 8,221 is: 17,957.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,763.50 : 8,221 = 8,221 : x
  2. Step 2: Convert to fraction form
    3,763.50/8,221 = 8,221/x
  3. Step 3: Cross multiply
    3,763.50x = 8,221 × 8,221
  4. Step 4: Simplify right side
    3,763.50x = 67,584,841
  5. Step 5: Solve for x
    x = 67,584,841/3,763.50
  6. Step 6: Final answer
    x = 17,957.98

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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.