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Finding the Third Proportional to 3,239.58 and 6,990.47

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Solution

The third proportional to 3,239.58 and 6,990.47 is: 15,084.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,239.58 : 6,990.47 = 6,990.47 : x
  2. Step 2: Convert to fraction form
    3,239.58/6,990.47 = 6,990.47/x
  3. Step 3: Cross multiply
    3,239.58x = 6,990.47 × 6,990.47
  4. Step 4: Simplify right side
    3,239.58x = 48,866,653.34
  5. Step 5: Solve for x
    x = 48,866,653.34/3,239.58
  6. Step 6: Final answer
    x = 15,084.26

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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.