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Finding the Third Proportional to 839.31 and 1,813.63

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Solution

The third proportional to 839.31 and 1,813.63 is: 3,918.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.31 : 1,813.63 = 1,813.63 : x
  2. Step 2: Convert to fraction form
    839.31/1,813.63 = 1,813.63/x
  3. Step 3: Cross multiply
    839.31x = 1,813.63 × 1,813.63
  4. Step 4: Simplify right side
    839.31x = 3,289,235.64
  5. Step 5: Solve for x
    x = 3,289,235.64/839.31
  6. Step 6: Final answer
    x = 3,918.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.