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Finding the Third Proportional to 3,136.46 and 6,888.01

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Solution

The third proportional to 3,136.46 and 6,888.01 is: 15,126.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136.46 : 6,888.01 = 6,888.01 : x
  2. Step 2: Convert to fraction form
    3,136.46/6,888.01 = 6,888.01/x
  3. Step 3: Cross multiply
    3,136.46x = 6,888.01 × 6,888.01
  4. Step 4: Simplify right side
    3,136.46x = 47,444,624.72
  5. Step 5: Solve for x
    x = 47,444,624.72/3,136.46
  6. Step 6: Final answer
    x = 15,126.83

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.