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Finding the Third Proportional to 3,463.88 and 6,608.81

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Solution

The third proportional to 3,463.88 and 6,608.81 is: 12,609.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,463.88 : 6,608.81 = 6,608.81 : x
  2. Step 2: Convert to fraction form
    3,463.88/6,608.81 = 6,608.81/x
  3. Step 3: Cross multiply
    3,463.88x = 6,608.81 × 6,608.81
  4. Step 4: Simplify right side
    3,463.88x = 43,676,402.66
  5. Step 5: Solve for x
    x = 43,676,402.66/3,463.88
  6. Step 6: Final answer
    x = 12,609.12

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.