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Finding the Third Proportional to 201,339 and 438,651

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Solution

The third proportional to 201,339 and 438,651 is: 955,675.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,339 : 438,651 = 438,651 : x
  2. Step 2: Convert to fraction form
    201,339/438,651 = 438,651/x
  3. Step 3: Cross multiply
    201,339x = 438,651 × 438,651
  4. Step 4: Simplify right side
    201,339x = 192,414,699,801
  5. Step 5: Solve for x
    x = 192,414,699,801/201,339
  6. Step 6: Final answer
    x = 955,675.25

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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.