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Finding the Third Proportional to 297,821 and 642,298

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Solution

The third proportional to 297,821 and 642,298 is: 1,385,217.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,821 : 642,298 = 642,298 : x
  2. Step 2: Convert to fraction form
    297,821/642,298 = 642,298/x
  3. Step 3: Cross multiply
    297,821x = 642,298 × 642,298
  4. Step 4: Simplify right side
    297,821x = 412,546,720,804
  5. Step 5: Solve for x
    x = 412,546,720,804/297,821
  6. Step 6: Final answer
    x = 1,385,217.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.