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Finding the Third Proportional to 828.66 and 1,803.80

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Solution

The third proportional to 828.66 and 1,803.80 is: 3,926.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.66 : 1,803.80 = 1,803.80 : x
  2. Step 2: Convert to fraction form
    828.66/1,803.80 = 1,803.80/x
  3. Step 3: Cross multiply
    828.66x = 1,803.80 × 1,803.80
  4. Step 4: Simplify right side
    828.66x = 3,253,683.17
  5. Step 5: Solve for x
    x = 3,253,683.17/828.66
  6. Step 6: Final answer
    x = 3,926.46

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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.