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Finding the Third Proportional to 131,968 and 204,252

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Solution

The third proportional to 131,968 and 204,252 is: 316,128.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,968 : 204,252 = 204,252 : x
  2. Step 2: Convert to fraction form
    131,968/204,252 = 204,252/x
  3. Step 3: Cross multiply
    131,968x = 204,252 × 204,252
  4. Step 4: Simplify right side
    131,968x = 41,718,879,504
  5. Step 5: Solve for x
    x = 41,718,879,504/131,968
  6. Step 6: Final answer
    x = 316,128.75

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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.