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Finding the Third Proportional to 378,884 and 810,306

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Solution

The third proportional to 378,884 and 810,306 is: 1,732,973.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,884 : 810,306 = 810,306 : x
  2. Step 2: Convert to fraction form
    378,884/810,306 = 810,306/x
  3. Step 3: Cross multiply
    378,884x = 810,306 × 810,306
  4. Step 4: Simplify right side
    378,884x = 656,595,813,636
  5. Step 5: Solve for x
    x = 656,595,813,636/378,884
  6. Step 6: Final answer
    x = 1,732,973.19

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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.