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Finding the Third Proportional to 378,869 and 813,789

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Solution

The third proportional to 378,869 and 813,789 is: 1,747,972.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,869 : 813,789 = 813,789 : x
  2. Step 2: Convert to fraction form
    378,869/813,789 = 813,789/x
  3. Step 3: Cross multiply
    378,869x = 813,789 × 813,789
  4. Step 4: Simplify right side
    378,869x = 662,252,536,521
  5. Step 5: Solve for x
    x = 662,252,536,521/378,869
  6. Step 6: Final answer
    x = 1,747,972.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.