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Finding the Third Proportional to 386,384 and 829,902

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Solution

The third proportional to 386,384 and 829,902 is: 1,782,520.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,384 : 829,902 = 829,902 : x
  2. Step 2: Convert to fraction form
    386,384/829,902 = 829,902/x
  3. Step 3: Cross multiply
    386,384x = 829,902 × 829,902
  4. Step 4: Simplify right side
    386,384x = 688,737,329,604
  5. Step 5: Solve for x
    x = 688,737,329,604/386,384
  6. Step 6: Final answer
    x = 1,782,520.32

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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.