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Finding the Third Proportional to 847.55 and 1,801.83

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Solution

The third proportional to 847.55 and 1,801.83 is: 3,830.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.55 : 1,801.83 = 1,801.83 : x
  2. Step 2: Convert to fraction form
    847.55/1,801.83 = 1,801.83/x
  3. Step 3: Cross multiply
    847.55x = 1,801.83 × 1,801.83
  4. Step 4: Simplify right side
    847.55x = 3,246,584.59
  5. Step 5: Solve for x
    x = 3,246,584.59/847.55
  6. Step 6: Final answer
    x = 3,830.57

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.