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Finding the Third Proportional to 386,414 and 829,956

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Solution

The third proportional to 386,414 and 829,956 is: 1,782,613.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,414 : 829,956 = 829,956 : x
  2. Step 2: Convert to fraction form
    386,414/829,956 = 829,956/x
  3. Step 3: Cross multiply
    386,414x = 829,956 × 829,956
  4. Step 4: Simplify right side
    386,414x = 688,826,961,936
  5. Step 5: Solve for x
    x = 688,826,961,936/386,414
  6. Step 6: Final answer
    x = 1,782,613.89

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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.