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Finding the Third Proportional to 838.69 and 1,233.84

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Solution

The third proportional to 838.69 and 1,233.84 is: 1,815.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.69 : 1,233.84 = 1,233.84 : x
  2. Step 2: Convert to fraction form
    838.69/1,233.84 = 1,233.84/x
  3. Step 3: Cross multiply
    838.69x = 1,233.84 × 1,233.84
  4. Step 4: Simplify right side
    838.69x = 1,522,370.40
  5. Step 5: Solve for x
    x = 1,522,370.40/838.69
  6. Step 6: Final answer
    x = 1,815.18

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.