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Finding the Third Proportional to 2,657.18 and 5,817.87

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Solution

The third proportional to 2,657.18 and 5,817.87 is: 12,738.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657.18 : 5,817.87 = 5,817.87 : x
  2. Step 2: Convert to fraction form
    2,657.18/5,817.87 = 5,817.87/x
  3. Step 3: Cross multiply
    2,657.18x = 5,817.87 × 5,817.87
  4. Step 4: Simplify right side
    2,657.18x = 33,847,578.61
  5. Step 5: Solve for x
    x = 33,847,578.61/2,657.18
  6. Step 6: Final answer
    x = 12,738.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.