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Finding the Third Proportional to 378,773 and 810,079

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Solution

The third proportional to 378,773 and 810,079 is: 1,732,509.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,773 : 810,079 = 810,079 : x
  2. Step 2: Convert to fraction form
    378,773/810,079 = 810,079/x
  3. Step 3: Cross multiply
    378,773x = 810,079 × 810,079
  4. Step 4: Simplify right side
    378,773x = 656,227,986,241
  5. Step 5: Solve for x
    x = 656,227,986,241/378,773
  6. Step 6: Final answer
    x = 1,732,509.94

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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.