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Finding the Third Proportional to 208,962 and 318,339

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Solution

The third proportional to 208,962 and 318,339 is: 484,967.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,962 : 318,339 = 318,339 : x
  2. Step 2: Convert to fraction form
    208,962/318,339 = 318,339/x
  3. Step 3: Cross multiply
    208,962x = 318,339 × 318,339
  4. Step 4: Simplify right side
    208,962x = 101,339,718,921
  5. Step 5: Solve for x
    x = 101,339,718,921/208,962
  6. Step 6: Final answer
    x = 484,967.21

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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.