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Finding the Third Proportional to 204,396 and 317,220

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Solution

The third proportional to 204,396 and 317,220 is: 492,321.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,396 : 317,220 = 317,220 : x
  2. Step 2: Convert to fraction form
    204,396/317,220 = 317,220/x
  3. Step 3: Cross multiply
    204,396x = 317,220 × 317,220
  4. Step 4: Simplify right side
    204,396x = 100,628,528,400
  5. Step 5: Solve for x
    x = 100,628,528,400/204,396
  6. Step 6: Final answer
    x = 492,321.42

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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.