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Finding the Third Proportional to 131,166 and 289,898

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Solution

The third proportional to 131,166 and 289,898 is: 640,721.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,166 : 289,898 = 289,898 : x
  2. Step 2: Convert to fraction form
    131,166/289,898 = 289,898/x
  3. Step 3: Cross multiply
    131,166x = 289,898 × 289,898
  4. Step 4: Simplify right side
    131,166x = 84,040,850,404
  5. Step 5: Solve for x
    x = 84,040,850,404/131,166
  6. Step 6: Final answer
    x = 640,721.30

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.