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Finding the Third Proportional to 267,238 and 429,820

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Solution

The third proportional to 267,238 and 429,820 is: 691,313.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,238 : 429,820 = 429,820 : x
  2. Step 2: Convert to fraction form
    267,238/429,820 = 429,820/x
  3. Step 3: Cross multiply
    267,238x = 429,820 × 429,820
  4. Step 4: Simplify right side
    267,238x = 184,745,232,400
  5. Step 5: Solve for x
    x = 184,745,232,400/267,238
  6. Step 6: Final answer
    x = 691,313.48

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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.