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Finding the Third Proportional to 267,242 and 429,825

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Solution

The third proportional to 267,242 and 429,825 is: 691,319.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,242 : 429,825 = 429,825 : x
  2. Step 2: Convert to fraction form
    267,242/429,825 = 429,825/x
  3. Step 3: Cross multiply
    267,242x = 429,825 × 429,825
  4. Step 4: Simplify right side
    267,242x = 184,749,530,625
  5. Step 5: Solve for x
    x = 184,749,530,625/267,242
  6. Step 6: Final answer
    x = 691,319.22

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.