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Finding the Third Proportional to 378,669 and 810,532

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Solution

The third proportional to 378,669 and 810,532 is: 1,734,924.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,669 : 810,532 = 810,532 : x
  2. Step 2: Convert to fraction form
    378,669/810,532 = 810,532/x
  3. Step 3: Cross multiply
    378,669x = 810,532 × 810,532
  4. Step 4: Simplify right side
    378,669x = 656,962,123,024
  5. Step 5: Solve for x
    x = 656,962,123,024/378,669
  6. Step 6: Final answer
    x = 1,734,924.49

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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.