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Finding the Third Proportional to 132,438 and 289,634

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Solution

The third proportional to 132,438 and 289,634 is: 633,412.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,438 : 289,634 = 289,634 : x
  2. Step 2: Convert to fraction form
    132,438/289,634 = 289,634/x
  3. Step 3: Cross multiply
    132,438x = 289,634 × 289,634
  4. Step 4: Simplify right side
    132,438x = 83,887,853,956
  5. Step 5: Solve for x
    x = 83,887,853,956/132,438
  6. Step 6: Final answer
    x = 633,412.27

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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.