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Finding the Third Proportional to 208,866 and 318,203

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Solution

The third proportional to 208,866 and 318,203 is: 484,775.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,866 : 318,203 = 318,203 : x
  2. Step 2: Convert to fraction form
    208,866/318,203 = 318,203/x
  3. Step 3: Cross multiply
    208,866x = 318,203 × 318,203
  4. Step 4: Simplify right side
    208,866x = 101,253,149,209
  5. Step 5: Solve for x
    x = 101,253,149,209/208,866
  6. Step 6: Final answer
    x = 484,775.64

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.