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Finding the Third Proportional to 85,564 and 206,134

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Solution

The third proportional to 85,564 and 206,134 is: 496,601.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,564 : 206,134 = 206,134 : x
  2. Step 2: Convert to fraction form
    85,564/206,134 = 206,134/x
  3. Step 3: Cross multiply
    85,564x = 206,134 × 206,134
  4. Step 4: Simplify right side
    85,564x = 42,491,225,956
  5. Step 5: Solve for x
    x = 42,491,225,956/85,564
  6. Step 6: Final answer
    x = 496,601.68

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.