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Finding the Third Proportional to 3,792.19 and 8,200.88

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Solution

The third proportional to 3,792.19 and 8,200.88 is: 17,734.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,792.19 : 8,200.88 = 8,200.88 : x
  2. Step 2: Convert to fraction form
    3,792.19/8,200.88 = 8,200.88/x
  3. Step 3: Cross multiply
    3,792.19x = 8,200.88 × 8,200.88
  4. Step 4: Simplify right side
    3,792.19x = 67,254,350.77
  5. Step 5: Solve for x
    x = 67,254,350.77/3,792.19
  6. Step 6: Final answer
    x = 17,734.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.