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Finding the Third Proportional to 812.95 and 1,212.19

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Solution

The third proportional to 812.95 and 1,212.19 is: 1,807.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.95 : 1,212.19 = 1,212.19 : x
  2. Step 2: Convert to fraction form
    812.95/1,212.19 = 1,212.19/x
  3. Step 3: Cross multiply
    812.95x = 1,212.19 × 1,212.19
  4. Step 4: Simplify right side
    812.95x = 1,469,398.54
  5. Step 5: Solve for x
    x = 1,469,398.54/812.95
  6. Step 6: Final answer
    x = 1,807.48

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1.5x scale

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.