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Finding the Third Proportional to 386,839 and 840,932

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Solution

The third proportional to 386,839 and 840,932 is: 1,828,064.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,839 : 840,932 = 840,932 : x
  2. Step 2: Convert to fraction form
    386,839/840,932 = 840,932/x
  3. Step 3: Cross multiply
    386,839x = 840,932 × 840,932
  4. Step 4: Simplify right side
    386,839x = 707,166,628,624
  5. Step 5: Solve for x
    x = 707,166,628,624/386,839
  6. Step 6: Final answer
    x = 1,828,064.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.