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Finding the Third Proportional to 400,767.75 and 817,854.75

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Solution

The third proportional to 400,767.75 and 817,854.75 is: 1,669,012.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,767.75 : 817,854.75 = 817,854.75 : x
  2. Step 2: Convert to fraction form
    400,767.75/817,854.75 = 817,854.75/x
  3. Step 3: Cross multiply
    400,767.75x = 817,854.75 × 817,854.75
  4. Step 4: Simplify right side
    400,767.75x = 668,886,392,097.56
  5. Step 5: Solve for x
    x = 668,886,392,097.56/400,767.75
  6. Step 6: Final answer
    x = 1,669,012.52

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.