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Finding the Third Proportional to 131,211 and 200,963

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Solution

The third proportional to 131,211 and 200,963 is: 307,795.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,211 : 200,963 = 200,963 : x
  2. Step 2: Convert to fraction form
    131,211/200,963 = 200,963/x
  3. Step 3: Cross multiply
    131,211x = 200,963 × 200,963
  4. Step 4: Simplify right side
    131,211x = 40,386,127,369
  5. Step 5: Solve for x
    x = 40,386,127,369/131,211
  6. Step 6: Final answer
    x = 307,795.29

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.