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Finding the Third Proportional to 267,238 and 429,819

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Solution

The third proportional to 267,238 and 429,819 is: 691,310.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,238 : 429,819 = 429,819 : x
  2. Step 2: Convert to fraction form
    267,238/429,819 = 429,819/x
  3. Step 3: Cross multiply
    267,238x = 429,819 × 429,819
  4. Step 4: Simplify right side
    267,238x = 184,744,372,761
  5. Step 5: Solve for x
    x = 184,744,372,761/267,238
  6. Step 6: Final answer
    x = 691,310.27

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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.