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Finding the Third Proportional to 90,701 and 211,801.75

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Solution

The third proportional to 90,701 and 211,801.75 is: 494,591.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,701 : 211,801.75 = 211,801.75 : x
  2. Step 2: Convert to fraction form
    90,701/211,801.75 = 211,801.75/x
  3. Step 3: Cross multiply
    90,701x = 211,801.75 × 211,801.75
  4. Step 4: Simplify right side
    90,701x = 44,859,981,303.06
  5. Step 5: Solve for x
    x = 44,859,981,303.06/90,701
  6. Step 6: Final answer
    x = 494,591.92

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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.