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Finding the Third Proportional to 208,854 and 318,177

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Solution

The third proportional to 208,854 and 318,177 is: 484,724.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,854 : 318,177 = 318,177 : x
  2. Step 2: Convert to fraction form
    208,854/318,177 = 318,177/x
  3. Step 3: Cross multiply
    208,854x = 318,177 × 318,177
  4. Step 4: Simplify right side
    208,854x = 101,236,603,329
  5. Step 5: Solve for x
    x = 101,236,603,329/208,854
  6. Step 6: Final answer
    x = 484,724.27

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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.