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Finding the Third Proportional to 132,786 and 205,605

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Solution

The third proportional to 132,786 and 205,605 is: 318,357.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,786 : 205,605 = 205,605 : x
  2. Step 2: Convert to fraction form
    132,786/205,605 = 205,605/x
  3. Step 3: Cross multiply
    132,786x = 205,605 × 205,605
  4. Step 4: Simplify right side
    132,786x = 42,273,416,025
  5. Step 5: Solve for x
    x = 42,273,416,025/132,786
  6. Step 6: Final answer
    x = 318,357.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.