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Finding the Third Proportional to 204,286.50 and 317,054.25

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Solution

The third proportional to 204,286.50 and 317,054.25 is: 492,070.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,286.50 : 317,054.25 = 317,054.25 : x
  2. Step 2: Convert to fraction form
    204,286.50/317,054.25 = 317,054.25/x
  3. Step 3: Cross multiply
    204,286.50x = 317,054.25 × 317,054.25
  4. Step 4: Simplify right side
    204,286.50x = 100,523,397,443.06
  5. Step 5: Solve for x
    x = 100,523,397,443.06/204,286.50
  6. Step 6: Final answer
    x = 492,070.68

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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.