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Finding the Third Proportional to 829.78 and 1,818.84

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Solution

The third proportional to 829.78 and 1,818.84 is: 3,986.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.78 : 1,818.84 = 1,818.84 : x
  2. Step 2: Convert to fraction form
    829.78/1,818.84 = 1,818.84/x
  3. Step 3: Cross multiply
    829.78x = 1,818.84 × 1,818.84
  4. Step 4: Simplify right side
    829.78x = 3,308,192.59
  5. Step 5: Solve for x
    x = 3,308,192.59/829.78
  6. Step 6: Final answer
    x = 3,986.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.