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Finding the Third Proportional to 90,531 and 133,021

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Solution

The third proportional to 90,531 and 133,021 is: 195,453.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,531 : 133,021 = 133,021 : x
  2. Step 2: Convert to fraction form
    90,531/133,021 = 133,021/x
  3. Step 3: Cross multiply
    90,531x = 133,021 × 133,021
  4. Step 4: Simplify right side
    90,531x = 17,694,586,441
  5. Step 5: Solve for x
    x = 17,694,586,441/90,531
  6. Step 6: Final answer
    x = 195,453.34

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.