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Finding the Third Proportional to 296,057.53 and 698,419.97

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Solution

The third proportional to 296,057.53 and 698,419.97 is: 1,647,620.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,057.53 : 698,419.97 = 698,419.97 : x
  2. Step 2: Convert to fraction form
    296,057.53/698,419.97 = 698,419.97/x
  3. Step 3: Cross multiply
    296,057.53x = 698,419.97 × 698,419.97
  4. Step 4: Simplify right side
    296,057.53x = 487,790,452,748.75
  5. Step 5: Solve for x
    x = 487,790,452,748.75/296,057.53
  6. Step 6: Final answer
    x = 1,647,620.48

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.