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Finding the Third Proportional to 783.84 and 1,213.73

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Solution

The third proportional to 783.84 and 1,213.73 is: 1,879.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.84 : 1,213.73 = 1,213.73 : x
  2. Step 2: Convert to fraction form
    783.84/1,213.73 = 1,213.73/x
  3. Step 3: Cross multiply
    783.84x = 1,213.73 × 1,213.73
  4. Step 4: Simplify right side
    783.84x = 1,473,151.13
  5. Step 5: Solve for x
    x = 1,473,151.13/783.84
  6. Step 6: Final answer
    x = 1,879.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.