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Finding the Third Proportional to 338,431.50 and 721,899

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Solution

The third proportional to 338,431.50 and 721,899 is: 1,539,863.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,431.50 : 721,899 = 721,899 : x
  2. Step 2: Convert to fraction form
    338,431.50/721,899 = 721,899/x
  3. Step 3: Cross multiply
    338,431.50x = 721,899 × 721,899
  4. Step 4: Simplify right side
    338,431.50x = 521,138,166,201
  5. Step 5: Solve for x
    x = 521,138,166,201/338,431.50
  6. Step 6: Final answer
    x = 1,539,863.06

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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.