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Finding the Third Proportional to 3,062.81 and 6,611.63

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Solution

The third proportional to 3,062.81 and 6,611.63 is: 14,272.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,062.81 : 6,611.63 = 6,611.63 : x
  2. Step 2: Convert to fraction form
    3,062.81/6,611.63 = 6,611.63/x
  3. Step 3: Cross multiply
    3,062.81x = 6,611.63 × 6,611.63
  4. Step 4: Simplify right side
    3,062.81x = 43,713,585.14
  5. Step 5: Solve for x
    x = 43,713,585.14/3,062.81
  6. Step 6: Final answer
    x = 14,272.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.