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Finding the Third Proportional to 208,938 and 318,302

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Solution

The third proportional to 208,938 and 318,302 is: 484,910.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,938 : 318,302 = 318,302 : x
  2. Step 2: Convert to fraction form
    208,938/318,302 = 318,302/x
  3. Step 3: Cross multiply
    208,938x = 318,302 × 318,302
  4. Step 4: Simplify right side
    208,938x = 101,316,163,204
  5. Step 5: Solve for x
    x = 101,316,163,204/208,938
  6. Step 6: Final answer
    x = 484,910.18

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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.