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Finding the Third Proportional to 76,938 and 165,378

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Solution

The third proportional to 76,938 and 165,378 is: 355,479.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,938 : 165,378 = 165,378 : x
  2. Step 2: Convert to fraction form
    76,938/165,378 = 165,378/x
  3. Step 3: Cross multiply
    76,938x = 165,378 × 165,378
  4. Step 4: Simplify right side
    76,938x = 27,349,882,884
  5. Step 5: Solve for x
    x = 27,349,882,884/76,938
  6. Step 6: Final answer
    x = 355,479.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.