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Finding the Third Proportional to 782.86 and 1,212.05

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Solution

The third proportional to 782.86 and 1,212.05 is: 1,876.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.86 : 1,212.05 = 1,212.05 : x
  2. Step 2: Convert to fraction form
    782.86/1,212.05 = 1,212.05/x
  3. Step 3: Cross multiply
    782.86x = 1,212.05 × 1,212.05
  4. Step 4: Simplify right side
    782.86x = 1,469,057.63
  5. Step 5: Solve for x
    x = 1,469,057.63/782.86
  6. Step 6: Final answer
    x = 1,876.53

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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.