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Finding the Third Proportional to 386,399 and 839,331

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Solution

The third proportional to 386,399 and 839,331 is: 1,823,184.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,399 : 839,331 = 839,331 : x
  2. Step 2: Convert to fraction form
    386,399/839,331 = 839,331/x
  3. Step 3: Cross multiply
    386,399x = 839,331 × 839,331
  4. Step 4: Simplify right side
    386,399x = 704,476,527,561
  5. Step 5: Solve for x
    x = 704,476,527,561/386,399
  6. Step 6: Final answer
    x = 1,823,184.14

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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.