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Finding the Third Proportional to 3,586.78 and 6,657.19

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Solution

The third proportional to 3,586.78 and 6,657.19 is: 12,355.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,586.78 : 6,657.19 = 6,657.19 : x
  2. Step 2: Convert to fraction form
    3,586.78/6,657.19 = 6,657.19/x
  3. Step 3: Cross multiply
    3,586.78x = 6,657.19 × 6,657.19
  4. Step 4: Simplify right side
    3,586.78x = 44,318,145.41
  5. Step 5: Solve for x
    x = 44,318,145.41/3,586.78
  6. Step 6: Final answer
    x = 12,355.97

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.