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Finding the Third Proportional to 132,292 and 289,422

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Solution

The third proportional to 132,292 and 289,422 is: 633,183.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,292 : 289,422 = 289,422 : x
  2. Step 2: Convert to fraction form
    132,292/289,422 = 289,422/x
  3. Step 3: Cross multiply
    132,292x = 289,422 × 289,422
  4. Step 4: Simplify right side
    132,292x = 83,765,094,084
  5. Step 5: Solve for x
    x = 83,765,094,084/132,292
  6. Step 6: Final answer
    x = 633,183.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.