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Finding the Third Proportional to 285,958 and 616,238

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Solution

The third proportional to 285,958 and 616,238 is: 1,327,989.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,958 : 616,238 = 616,238 : x
  2. Step 2: Convert to fraction form
    285,958/616,238 = 616,238/x
  3. Step 3: Cross multiply
    285,958x = 616,238 × 616,238
  4. Step 4: Simplify right side
    285,958x = 379,749,272,644
  5. Step 5: Solve for x
    x = 379,749,272,644/285,958
  6. Step 6: Final answer
    x = 1,327,989.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.