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Finding the Third Proportional to 385,272 and 829,836

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Solution

The third proportional to 385,272 and 829,836 is: 1,787,380.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,272 : 829,836 = 829,836 : x
  2. Step 2: Convert to fraction form
    385,272/829,836 = 829,836/x
  3. Step 3: Cross multiply
    385,272x = 829,836 × 829,836
  4. Step 4: Simplify right side
    385,272x = 688,627,786,896
  5. Step 5: Solve for x
    x = 688,627,786,896/385,272
  6. Step 6: Final answer
    x = 1,787,380.83

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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.