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Finding the Third Proportional to 132,640 and 205,684

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Solution

The third proportional to 132,640 and 205,684 is: 318,952.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,640 : 205,684 = 205,684 : x
  2. Step 2: Convert to fraction form
    132,640/205,684 = 205,684/x
  3. Step 3: Cross multiply
    132,640x = 205,684 × 205,684
  4. Step 4: Simplify right side
    132,640x = 42,305,907,856
  5. Step 5: Solve for x
    x = 42,305,907,856/132,640
  6. Step 6: Final answer
    x = 318,952.86

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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.