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Finding the Third Proportional to 90,412 and 133,775

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Solution

The third proportional to 90,412 and 133,775 is: 197,935.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,412 : 133,775 = 133,775 : x
  2. Step 2: Convert to fraction form
    90,412/133,775 = 133,775/x
  3. Step 3: Cross multiply
    90,412x = 133,775 × 133,775
  4. Step 4: Simplify right side
    90,412x = 17,895,750,625
  5. Step 5: Solve for x
    x = 17,895,750,625/90,412
  6. Step 6: Final answer
    x = 197,935.57

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.