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Finding the Third Proportional to 8,219.81 and 12,202.88

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Solution

The third proportional to 8,219.81 and 12,202.88 is: 18,116.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,219.81 : 12,202.88 = 12,202.88 : x
  2. Step 2: Convert to fraction form
    8,219.81/12,202.88 = 12,202.88/x
  3. Step 3: Cross multiply
    8,219.81x = 12,202.88 × 12,202.88
  4. Step 4: Simplify right side
    8,219.81x = 148,910,158.27
  5. Step 5: Solve for x
    x = 148,910,158.27/8,219.81
  6. Step 6: Final answer
    x = 18,116.00

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.