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Finding the Third Proportional to 131,161 and 288,992

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Solution

The third proportional to 131,161 and 288,992 is: 636,747.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,161 : 288,992 = 288,992 : x
  2. Step 2: Convert to fraction form
    131,161/288,992 = 288,992/x
  3. Step 3: Cross multiply
    131,161x = 288,992 × 288,992
  4. Step 4: Simplify right side
    131,161x = 83,516,376,064
  5. Step 5: Solve for x
    x = 83,516,376,064/131,161
  6. Step 6: Final answer
    x = 636,747.02

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.