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Finding the Third Proportional to 338,412 and 727,860

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Solution

The third proportional to 338,412 and 727,860 is: 1,565,488.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,412 : 727,860 = 727,860 : x
  2. Step 2: Convert to fraction form
    338,412/727,860 = 727,860/x
  3. Step 3: Cross multiply
    338,412x = 727,860 × 727,860
  4. Step 4: Simplify right side
    338,412x = 529,780,179,600
  5. Step 5: Solve for x
    x = 529,780,179,600/338,412
  6. Step 6: Final answer
    x = 1,565,488.75

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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.