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Finding the Third Proportional to 338,421 and 721,878

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Solution

The third proportional to 338,421 and 721,878 is: 1,539,821.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,421 : 721,878 = 721,878 : x
  2. Step 2: Convert to fraction form
    338,421/721,878 = 721,878/x
  3. Step 3: Cross multiply
    338,421x = 721,878 × 721,878
  4. Step 4: Simplify right side
    338,421x = 521,107,846,884
  5. Step 5: Solve for x
    x = 521,107,846,884/338,421
  6. Step 6: Final answer
    x = 1,539,821.25

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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.