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Finding the Third Proportional to 338,424 and 721,884

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Solution

The third proportional to 338,424 and 721,884 is: 1,539,833.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,424 : 721,884 = 721,884 : x
  2. Step 2: Convert to fraction form
    338,424/721,884 = 721,884/x
  3. Step 3: Cross multiply
    338,424x = 721,884 × 721,884
  4. Step 4: Simplify right side
    338,424x = 521,116,509,456
  5. Step 5: Solve for x
    x = 521,116,509,456/338,424
  6. Step 6: Final answer
    x = 1,539,833.20

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.