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Finding the Third Proportional to 285,353 and 427,137

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Solution

The third proportional to 285,353 and 427,137 is: 639,369.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,353 : 427,137 = 427,137 : x
  2. Step 2: Convert to fraction form
    285,353/427,137 = 427,137/x
  3. Step 3: Cross multiply
    285,353x = 427,137 × 427,137
  4. Step 4: Simplify right side
    285,353x = 182,446,016,769
  5. Step 5: Solve for x
    x = 182,446,016,769/285,353
  6. Step 6: Final answer
    x = 639,369.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.