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Finding the Third Proportional to 380,521 and 819,909

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Solution

The third proportional to 380,521 and 819,909 is: 1,766,658.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,521 : 819,909 = 819,909 : x
  2. Step 2: Convert to fraction form
    380,521/819,909 = 819,909/x
  3. Step 3: Cross multiply
    380,521x = 819,909 × 819,909
  4. Step 4: Simplify right side
    380,521x = 672,250,768,281
  5. Step 5: Solve for x
    x = 672,250,768,281/380,521
  6. Step 6: Final answer
    x = 1,766,658.79

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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.