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Finding the Third Proportional to 378,092 and 830,728

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Solution

The third proportional to 378,092 and 830,728 is: 1,825,240.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,092 : 830,728 = 830,728 : x
  2. Step 2: Convert to fraction form
    378,092/830,728 = 830,728/x
  3. Step 3: Cross multiply
    378,092x = 830,728 × 830,728
  4. Step 4: Simplify right side
    378,092x = 690,109,009,984
  5. Step 5: Solve for x
    x = 690,109,009,984/378,092
  6. Step 6: Final answer
    x = 1,825,240.97

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.