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Finding the Third Proportional to 800,263.13 and 1,200,423.38

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Solution

The third proportional to 800,263.13 and 1,200,423.38 is: 1,800,678.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,263.13 : 1,200,423.38 = 1,200,423.38 : x
  2. Step 2: Convert to fraction form
    800,263.13/1,200,423.38 = 1,200,423.38/x
  3. Step 3: Cross multiply
    800,263.13x = 1,200,423.38 × 1,200,423.38
  4. Step 4: Simplify right side
    800,263.13x = 1,441,016,279,246.39
  5. Step 5: Solve for x
    x = 1,441,016,279,246.39/800,263.13
  6. Step 6: Final answer
    x = 1,800,678.09

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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.