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Finding the Third Proportional to 90,902.25 and 212,310.75

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Solution

The third proportional to 90,902.25 and 212,310.75 is: 495,871.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,902.25 : 212,310.75 = 212,310.75 : x
  2. Step 2: Convert to fraction form
    90,902.25/212,310.75 = 212,310.75/x
  3. Step 3: Cross multiply
    90,902.25x = 212,310.75 × 212,310.75
  4. Step 4: Simplify right side
    90,902.25x = 45,075,854,565.56
  5. Step 5: Solve for x
    x = 45,075,854,565.56/90,902.25
  6. Step 6: Final answer
    x = 495,871.71

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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.