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Finding the Third Proportional to 90,086 and 208,529

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Solution

The third proportional to 90,086 and 208,529 is: 482,698.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,086 : 208,529 = 208,529 : x
  2. Step 2: Convert to fraction form
    90,086/208,529 = 208,529/x
  3. Step 3: Cross multiply
    90,086x = 208,529 × 208,529
  4. Step 4: Simplify right side
    90,086x = 43,484,343,841
  5. Step 5: Solve for x
    x = 43,484,343,841/90,086
  6. Step 6: Final answer
    x = 482,698.13

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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.