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Finding the Third Proportional to 136,815 and 204,672

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Solution

The third proportional to 136,815 and 204,672 is: 306,184.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,815 : 204,672 = 204,672 : x
  2. Step 2: Convert to fraction form
    136,815/204,672 = 204,672/x
  3. Step 3: Cross multiply
    136,815x = 204,672 × 204,672
  4. Step 4: Simplify right side
    136,815x = 41,890,627,584
  5. Step 5: Solve for x
    x = 41,890,627,584/136,815
  6. Step 6: Final answer
    x = 306,184.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.