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Finding the Third Proportional to 381,996 and 830,331

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Solution

The third proportional to 381,996 and 830,331 is: 1,804,860.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,996 : 830,331 = 830,331 : x
  2. Step 2: Convert to fraction form
    381,996/830,331 = 830,331/x
  3. Step 3: Cross multiply
    381,996x = 830,331 × 830,331
  4. Step 4: Simplify right side
    381,996x = 689,449,569,561
  5. Step 5: Solve for x
    x = 689,449,569,561/381,996
  6. Step 6: Final answer
    x = 1,804,860.70

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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.