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Finding the Third Proportional to 208,932 and 318,293

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Solution

The third proportional to 208,932 and 318,293 is: 484,896.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,932 : 318,293 = 318,293 : x
  2. Step 2: Convert to fraction form
    208,932/318,293 = 318,293/x
  3. Step 3: Cross multiply
    208,932x = 318,293 × 318,293
  4. Step 4: Simplify right side
    208,932x = 101,310,433,849
  5. Step 5: Solve for x
    x = 101,310,433,849/208,932
  6. Step 6: Final answer
    x = 484,896.68

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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.