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Finding the Third Proportional to 204,503 and 315,875

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Solution

The third proportional to 204,503 and 315,875 is: 487,900.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,503 : 315,875 = 315,875 : x
  2. Step 2: Convert to fraction form
    204,503/315,875 = 315,875/x
  3. Step 3: Cross multiply
    204,503x = 315,875 × 315,875
  4. Step 4: Simplify right side
    204,503x = 99,777,015,625
  5. Step 5: Solve for x
    x = 99,777,015,625/204,503
  6. Step 6: Final answer
    x = 487,900.01

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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.