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Finding the Third Proportional to 131,167 and 289,900

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Solution

The third proportional to 131,167 and 289,900 is: 640,725.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,167 : 289,900 = 289,900 : x
  2. Step 2: Convert to fraction form
    131,167/289,900 = 289,900/x
  3. Step 3: Cross multiply
    131,167x = 289,900 × 289,900
  4. Step 4: Simplify right side
    131,167x = 84,042,010,000
  5. Step 5: Solve for x
    x = 84,042,010,000/131,167
  6. Step 6: Final answer
    x = 640,725.26

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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.