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Finding the Third Proportional to 131,812.50 and 204,273

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Solution

The third proportional to 131,812.50 and 204,273 is: 316,566.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,812.50 : 204,273 = 204,273 : x
  2. Step 2: Convert to fraction form
    131,812.50/204,273 = 204,273/x
  3. Step 3: Cross multiply
    131,812.50x = 204,273 × 204,273
  4. Step 4: Simplify right side
    131,812.50x = 41,727,458,529
  5. Step 5: Solve for x
    x = 41,727,458,529/131,812.50
  6. Step 6: Final answer
    x = 316,566.78

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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.