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Finding the Third Proportional to 208,918 and 318,273

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Solution

The third proportional to 208,918 and 318,273 is: 484,868.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,918 : 318,273 = 318,273 : x
  2. Step 2: Convert to fraction form
    208,918/318,273 = 318,273/x
  3. Step 3: Cross multiply
    208,918x = 318,273 × 318,273
  4. Step 4: Simplify right side
    208,918x = 101,297,702,529
  5. Step 5: Solve for x
    x = 101,297,702,529/208,918
  6. Step 6: Final answer
    x = 484,868.24

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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.