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Finding the Third Proportional to 800,214 and 1,238,661

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Solution

The third proportional to 800,214 and 1,238,661 is: 1,917,338.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,214 : 1,238,661 = 1,238,661 : x
  2. Step 2: Convert to fraction form
    800,214/1,238,661 = 1,238,661/x
  3. Step 3: Cross multiply
    800,214x = 1,238,661 × 1,238,661
  4. Step 4: Simplify right side
    800,214x = 1,534,281,072,921
  5. Step 5: Solve for x
    x = 1,534,281,072,921/800,214
  6. Step 6: Final answer
    x = 1,917,338.45

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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.