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Finding the Third Proportional to 200,659 and 330,821

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Solution

The third proportional to 200,659 and 330,821 is: 545,415.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,659 : 330,821 = 330,821 : x
  2. Step 2: Convert to fraction form
    200,659/330,821 = 330,821/x
  3. Step 3: Cross multiply
    200,659x = 330,821 × 330,821
  4. Step 4: Simplify right side
    200,659x = 109,442,534,041
  5. Step 5: Solve for x
    x = 109,442,534,041/200,659
  6. Step 6: Final answer
    x = 545,415.53

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.