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Finding the Third Proportional to 204,498 and 315,867

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Solution

The third proportional to 204,498 and 315,867 is: 487,887.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,498 : 315,867 = 315,867 : x
  2. Step 2: Convert to fraction form
    204,498/315,867 = 315,867/x
  3. Step 3: Cross multiply
    204,498x = 315,867 × 315,867
  4. Step 4: Simplify right side
    204,498x = 99,771,961,689
  5. Step 5: Solve for x
    x = 99,771,961,689/204,498
  6. Step 6: Final answer
    x = 487,887.22

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