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Finding the Third Proportional to 131,821 and 204,284

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Solution

The third proportional to 131,821 and 204,284 is: 316,580.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,821 : 204,284 = 204,284 : x
  2. Step 2: Convert to fraction form
    131,821/204,284 = 204,284/x
  3. Step 3: Cross multiply
    131,821x = 204,284 × 204,284
  4. Step 4: Simplify right side
    131,821x = 41,731,952,656
  5. Step 5: Solve for x
    x = 41,731,952,656/131,821
  6. Step 6: Final answer
    x = 316,580.46

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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.