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Finding the Third Proportional to 828.67 and 1,231.61

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Solution

The third proportional to 828.67 and 1,231.61 is: 1,830.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.67 : 1,231.61 = 1,231.61 : x
  2. Step 2: Convert to fraction form
    828.67/1,231.61 = 1,231.61/x
  3. Step 3: Cross multiply
    828.67x = 1,231.61 × 1,231.61
  4. Step 4: Simplify right side
    828.67x = 1,516,866.46
  5. Step 5: Solve for x
    x = 1,516,866.46/828.67
  6. Step 6: Final answer
    x = 1,830.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.