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Finding the Third Proportional to 90,085 and 208,523

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Solution

The third proportional to 90,085 and 208,523 is: 482,675.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,085 : 208,523 = 208,523 : x
  2. Step 2: Convert to fraction form
    90,085/208,523 = 208,523/x
  3. Step 3: Cross multiply
    90,085x = 208,523 × 208,523
  4. Step 4: Simplify right side
    90,085x = 43,481,841,529
  5. Step 5: Solve for x
    x = 43,481,841,529/90,085
  6. Step 6: Final answer
    x = 482,675.71

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.