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Finding the Third Proportional to 199,107 and 429,885

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Solution

The third proportional to 199,107 and 429,885 is: 928,149.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,107 : 429,885 = 429,885 : x
  2. Step 2: Convert to fraction form
    199,107/429,885 = 429,885/x
  3. Step 3: Cross multiply
    199,107x = 429,885 × 429,885
  4. Step 4: Simplify right side
    199,107x = 184,801,113,225
  5. Step 5: Solve for x
    x = 184,801,113,225/199,107
  6. Step 6: Final answer
    x = 928,149.75

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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.