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Finding the Third Proportional to 90,002 and 208,361

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Solution

The third proportional to 90,002 and 208,361 is: 482,370.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,002 : 208,361 = 208,361 : x
  2. Step 2: Convert to fraction form
    90,002/208,361 = 208,361/x
  3. Step 3: Cross multiply
    90,002x = 208,361 × 208,361
  4. Step 4: Simplify right side
    90,002x = 43,414,306,321
  5. Step 5: Solve for x
    x = 43,414,306,321/90,002
  6. Step 6: Final answer
    x = 482,370.46

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.