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Finding the Third Proportional to 3,203.30 and 6,990.05

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Solution

The third proportional to 3,203.30 and 6,990.05 is: 15,253.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203.30 : 6,990.05 = 6,990.05 : x
  2. Step 2: Convert to fraction form
    3,203.30/6,990.05 = 6,990.05/x
  3. Step 3: Cross multiply
    3,203.30x = 6,990.05 × 6,990.05
  4. Step 4: Simplify right side
    3,203.30x = 48,860,755.31
  5. Step 5: Solve for x
    x = 48,860,755.31/3,203.30
  6. Step 6: Final answer
    x = 15,253.27

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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.