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Finding the Third Proportional to 3,534.89 and 6,690.09

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Solution

The third proportional to 3,534.89 and 6,690.09 is: 12,661.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534.89 : 6,690.09 = 6,690.09 : x
  2. Step 2: Convert to fraction form
    3,534.89/6,690.09 = 6,690.09/x
  3. Step 3: Cross multiply
    3,534.89x = 6,690.09 × 6,690.09
  4. Step 4: Simplify right side
    3,534.89x = 44,757,354.38
  5. Step 5: Solve for x
    x = 44,757,354.38/3,534.89
  6. Step 6: Final answer
    x = 12,661.60

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Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.