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Finding the Third Proportional to 840.66 and 1,818.56

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Solution

The third proportional to 840.66 and 1,818.56 is: 3,934.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.66 : 1,818.56 = 1,818.56 : x
  2. Step 2: Convert to fraction form
    840.66/1,818.56 = 1,818.56/x
  3. Step 3: Cross multiply
    840.66x = 1,818.56 × 1,818.56
  4. Step 4: Simplify right side
    840.66x = 3,307,169.57
  5. Step 5: Solve for x
    x = 3,307,169.57/840.66
  6. Step 6: Final answer
    x = 3,934.03

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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.