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Finding the Third Proportional to 842.72 and 1,813.22

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Solution

The third proportional to 842.72 and 1,813.22 is: 3,901.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.72 : 1,813.22 = 1,813.22 : x
  2. Step 2: Convert to fraction form
    842.72/1,813.22 = 1,813.22/x
  3. Step 3: Cross multiply
    842.72x = 1,813.22 × 1,813.22
  4. Step 4: Simplify right side
    842.72x = 3,287,762.24
  5. Step 5: Solve for x
    x = 3,287,762.24/842.72
  6. Step 6: Final answer
    x = 3,901.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.