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Finding the Third Proportional to 200,448 and 431,997

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Solution

The third proportional to 200,448 and 431,997 is: 931,021.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,448 : 431,997 = 431,997 : x
  2. Step 2: Convert to fraction form
    200,448/431,997 = 431,997/x
  3. Step 3: Cross multiply
    200,448x = 431,997 × 431,997
  4. Step 4: Simplify right side
    200,448x = 186,621,408,009
  5. Step 5: Solve for x
    x = 186,621,408,009/200,448
  6. Step 6: Final answer
    x = 931,021.55

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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.