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Finding the Third Proportional to 378,766.13 and 817,623.56

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Solution

The third proportional to 378,766.13 and 817,623.56 is: 1,764,963.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,766.13 : 817,623.56 = 817,623.56 : x
  2. Step 2: Convert to fraction form
    378,766.13/817,623.56 = 817,623.56/x
  3. Step 3: Cross multiply
    378,766.13x = 817,623.56 × 817,623.56
  4. Step 4: Simplify right side
    378,766.13x = 668,508,289,955.19
  5. Step 5: Solve for x
    x = 668,508,289,955.19/378,766.13
  6. Step 6: Final answer
    x = 1,764,963.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.