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Finding the Third Proportional to 205,311.75 and 438,996

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Solution

The third proportional to 205,311.75 and 438,996 is: 938,657.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,311.75 : 438,996 = 438,996 : x
  2. Step 2: Convert to fraction form
    205,311.75/438,996 = 438,996/x
  3. Step 3: Cross multiply
    205,311.75x = 438,996 × 438,996
  4. Step 4: Simplify right side
    205,311.75x = 192,717,488,016
  5. Step 5: Solve for x
    x = 192,717,488,016/205,311.75
  6. Step 6: Final answer
    x = 938,657.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.