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Finding the Third Proportional to 338,434 and 721,903

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Solution

The third proportional to 338,434 and 721,903 is: 1,539,868.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,434 : 721,903 = 721,903 : x
  2. Step 2: Convert to fraction form
    338,434/721,903 = 721,903/x
  3. Step 3: Cross multiply
    338,434x = 721,903 × 721,903
  4. Step 4: Simplify right side
    338,434x = 521,143,941,409
  5. Step 5: Solve for x
    x = 521,143,941,409/338,434
  6. Step 6: Final answer
    x = 1,539,868.75

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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.