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Finding the Third Proportional to 204,257.25 and 315,000

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Solution

The third proportional to 204,257.25 and 315,000 is: 485,784.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,257.25 : 315,000 = 315,000 : x
  2. Step 2: Convert to fraction form
    204,257.25/315,000 = 315,000/x
  3. Step 3: Cross multiply
    204,257.25x = 315,000 × 315,000
  4. Step 4: Simplify right side
    204,257.25x = 99,225,000,000
  5. Step 5: Solve for x
    x = 99,225,000,000/204,257.25
  6. Step 6: Final answer
    x = 485,784.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.