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Finding the Third Proportional to 208,784 and 317,327

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Solution

The third proportional to 208,784 and 317,327 is: 482,299.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,784 : 317,327 = 317,327 : x
  2. Step 2: Convert to fraction form
    208,784/317,327 = 317,327/x
  3. Step 3: Cross multiply
    208,784x = 317,327 × 317,327
  4. Step 4: Simplify right side
    208,784x = 100,696,424,929
  5. Step 5: Solve for x
    x = 100,696,424,929/208,784
  6. Step 6: Final answer
    x = 482,299.53

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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.