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Finding the Third Proportional to 3,136.88 and 6,815.63

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Solution

The third proportional to 3,136.88 and 6,815.63 is: 14,808.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136.88 : 6,815.63 = 6,815.63 : x
  2. Step 2: Convert to fraction form
    3,136.88/6,815.63 = 6,815.63/x
  3. Step 3: Cross multiply
    3,136.88x = 6,815.63 × 6,815.63
  4. Step 4: Simplify right side
    3,136.88x = 46,452,744.14
  5. Step 5: Solve for x
    x = 46,452,744.14/3,136.88
  6. Step 6: Final answer
    x = 14,808.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.