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Finding the Third Proportional to 205,704 and 318,384

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Solution

The third proportional to 205,704 and 318,384 is: 492,787.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,704 : 318,384 = 318,384 : x
  2. Step 2: Convert to fraction form
    205,704/318,384 = 318,384/x
  3. Step 3: Cross multiply
    205,704x = 318,384 × 318,384
  4. Step 4: Simplify right side
    205,704x = 101,368,371,456
  5. Step 5: Solve for x
    x = 101,368,371,456/205,704
  6. Step 6: Final answer
    x = 492,787.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.