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Finding the Third Proportional to 128,762 and 206,823

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Solution

The third proportional to 128,762 and 206,823 is: 332,207.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,762 : 206,823 = 206,823 : x
  2. Step 2: Convert to fraction form
    128,762/206,823 = 206,823/x
  3. Step 3: Cross multiply
    128,762x = 206,823 × 206,823
  4. Step 4: Simplify right side
    128,762x = 42,775,753,329
  5. Step 5: Solve for x
    x = 42,775,753,329/128,762
  6. Step 6: Final answer
    x = 332,207.90

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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.