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Finding the Third Proportional to 826.88 and 1,804.31

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Solution

The third proportional to 826.88 and 1,804.31 is: 3,937.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.88 : 1,804.31 = 1,804.31 : x
  2. Step 2: Convert to fraction form
    826.88/1,804.31 = 1,804.31/x
  3. Step 3: Cross multiply
    826.88x = 1,804.31 × 1,804.31
  4. Step 4: Simplify right side
    826.88x = 3,255,543.60
  5. Step 5: Solve for x
    x = 3,255,543.60/826.88
  6. Step 6: Final answer
    x = 3,937.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.