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Finding the Third Proportional to 132,288 and 289,414

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Solution

The third proportional to 132,288 and 289,414 is: 633,167.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,288 : 289,414 = 289,414 : x
  2. Step 2: Convert to fraction form
    132,288/289,414 = 289,414/x
  3. Step 3: Cross multiply
    132,288x = 289,414 × 289,414
  4. Step 4: Simplify right side
    132,288x = 83,760,463,396
  5. Step 5: Solve for x
    x = 83,760,463,396/132,288
  6. Step 6: Final answer
    x = 633,167.51

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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.