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Finding the Third Proportional to 201,376 and 438,296

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Solution

The third proportional to 201,376 and 438,296 is: 953,953.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,376 : 438,296 = 438,296 : x
  2. Step 2: Convert to fraction form
    201,376/438,296 = 438,296/x
  3. Step 3: Cross multiply
    201,376x = 438,296 × 438,296
  4. Step 4: Simplify right side
    201,376x = 192,103,383,616
  5. Step 5: Solve for x
    x = 192,103,383,616/201,376
  6. Step 6: Final answer
    x = 953,953.72

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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.