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Finding the Third Proportional to 201,717 and 438,917

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Solution

The third proportional to 201,717 and 438,917 is: 955,041.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,717 : 438,917 = 438,917 : x
  2. Step 2: Convert to fraction form
    201,717/438,917 = 438,917/x
  3. Step 3: Cross multiply
    201,717x = 438,917 × 438,917
  4. Step 4: Simplify right side
    201,717x = 192,648,132,889
  5. Step 5: Solve for x
    x = 192,648,132,889/201,717
  6. Step 6: Final answer
    x = 955,041.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.