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Finding the Third Proportional to 85,188 and 133,643

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Solution

The third proportional to 85,188 and 133,643 is: 209,659.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,188 : 133,643 = 133,643 : x
  2. Step 2: Convert to fraction form
    85,188/133,643 = 133,643/x
  3. Step 3: Cross multiply
    85,188x = 133,643 × 133,643
  4. Step 4: Simplify right side
    85,188x = 17,860,451,449
  5. Step 5: Solve for x
    x = 17,860,451,449/85,188
  6. Step 6: Final answer
    x = 209,659.24

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.