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Finding the Third Proportional to 208,144 and 442,216

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Solution

The third proportional to 208,144 and 442,216 is: 939,517.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,144 : 442,216 = 442,216 : x
  2. Step 2: Convert to fraction form
    208,144/442,216 = 442,216/x
  3. Step 3: Cross multiply
    208,144x = 442,216 × 442,216
  4. Step 4: Simplify right side
    208,144x = 195,554,990,656
  5. Step 5: Solve for x
    x = 195,554,990,656/208,144
  6. Step 6: Final answer
    x = 939,517.79

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.