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Finding the Third Proportional to 199,903 and 429,448

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Solution

The third proportional to 199,903 and 429,448 is: 922,575.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,903 : 429,448 = 429,448 : x
  2. Step 2: Convert to fraction form
    199,903/429,448 = 429,448/x
  3. Step 3: Cross multiply
    199,903x = 429,448 × 429,448
  4. Step 4: Simplify right side
    199,903x = 184,425,584,704
  5. Step 5: Solve for x
    x = 184,425,584,704/199,903
  6. Step 6: Final answer
    x = 922,575.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.