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Finding the Third Proportional to 90,857 and 212,225

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Solution

The third proportional to 90,857 and 212,225 is: 495,718.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,857 : 212,225 = 212,225 : x
  2. Step 2: Convert to fraction form
    90,857/212,225 = 212,225/x
  3. Step 3: Cross multiply
    90,857x = 212,225 × 212,225
  4. Step 4: Simplify right side
    90,857x = 45,039,450,625
  5. Step 5: Solve for x
    x = 45,039,450,625/90,857
  6. Step 6: Final answer
    x = 495,718.00

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.