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Finding the Third Proportional to 90,056 and 208,481

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Solution

The third proportional to 90,056 and 208,481 is: 482,636.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,056 : 208,481 = 208,481 : x
  2. Step 2: Convert to fraction form
    90,056/208,481 = 208,481/x
  3. Step 3: Cross multiply
    90,056x = 208,481 × 208,481
  4. Step 4: Simplify right side
    90,056x = 43,464,327,361
  5. Step 5: Solve for x
    x = 43,464,327,361/90,056
  6. Step 6: Final answer
    x = 482,636.66

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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.