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Finding the Third Proportional to 132,429 and 289,615

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Solution

The third proportional to 132,429 and 289,615 is: 633,372.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,429 : 289,615 = 289,615 : x
  2. Step 2: Convert to fraction form
    132,429/289,615 = 289,615/x
  3. Step 3: Cross multiply
    132,429x = 289,615 × 289,615
  4. Step 4: Simplify right side
    132,429x = 83,876,848,225
  5. Step 5: Solve for x
    x = 83,876,848,225/132,429
  6. Step 6: Final answer
    x = 633,372.21

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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.