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Finding the Third Proportional to 820,945.13 and 1,228,137.19

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Solution

The third proportional to 820,945.13 and 1,228,137.19 is: 1,837,298.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,945.13 : 1,228,137.19 = 1,228,137.19 : x
  2. Step 2: Convert to fraction form
    820,945.13/1,228,137.19 = 1,228,137.19/x
  3. Step 3: Cross multiply
    820,945.13x = 1,228,137.19 × 1,228,137.19
  4. Step 4: Simplify right side
    820,945.13x = 1,508,320,951,320.41
  5. Step 5: Solve for x
    x = 1,508,320,951,320.41/820,945.13
  6. Step 6: Final answer
    x = 1,837,298.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.