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Finding the Third Proportional to 133,296 and 289,371

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Solution

The third proportional to 133,296 and 289,371 is: 628,192.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,296 : 289,371 = 289,371 : x
  2. Step 2: Convert to fraction form
    133,296/289,371 = 289,371/x
  3. Step 3: Cross multiply
    133,296x = 289,371 × 289,371
  4. Step 4: Simplify right side
    133,296x = 83,735,575,641
  5. Step 5: Solve for x
    x = 83,735,575,641/133,296
  6. Step 6: Final answer
    x = 628,192.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.