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Finding the Third Proportional to 378,726.75 and 809,941.13

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Solution

The third proportional to 378,726.75 and 809,941.13 is: 1,732,131.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,726.75 : 809,941.13 = 809,941.13 : x
  2. Step 2: Convert to fraction form
    378,726.75/809,941.13 = 809,941.13/x
  3. Step 3: Cross multiply
    378,726.75x = 809,941.13 × 809,941.13
  4. Step 4: Simplify right side
    378,726.75x = 656,004,625,966.27
  5. Step 5: Solve for x
    x = 656,004,625,966.27/378,726.75
  6. Step 6: Final answer
    x = 1,732,131.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.