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Finding the Third Proportional to 132,260 and 204,346

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Solution

The third proportional to 132,260 and 204,346 is: 315,721.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,260 : 204,346 = 204,346 : x
  2. Step 2: Convert to fraction form
    132,260/204,346 = 204,346/x
  3. Step 3: Cross multiply
    132,260x = 204,346 × 204,346
  4. Step 4: Simplify right side
    132,260x = 41,757,287,716
  5. Step 5: Solve for x
    x = 41,757,287,716/132,260
  6. Step 6: Final answer
    x = 315,721.21

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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.