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Finding the Third Proportional to 85,422 and 133,616

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Solution

The third proportional to 85,422 and 133,616 is: 209,000.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,422 : 133,616 = 133,616 : x
  2. Step 2: Convert to fraction form
    85,422/133,616 = 133,616/x
  3. Step 3: Cross multiply
    85,422x = 133,616 × 133,616
  4. Step 4: Simplify right side
    85,422x = 17,853,235,456
  5. Step 5: Solve for x
    x = 17,853,235,456/85,422
  6. Step 6: Final answer
    x = 209,000.44

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.