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Finding the Third Proportional to 79,284 and 173,328

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Solution

The third proportional to 79,284 and 173,328 is: 378,923.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,284 : 173,328 = 173,328 : x
  2. Step 2: Convert to fraction form
    79,284/173,328 = 173,328/x
  3. Step 3: Cross multiply
    79,284x = 173,328 × 173,328
  4. Step 4: Simplify right side
    79,284x = 30,042,595,584
  5. Step 5: Solve for x
    x = 30,042,595,584/79,284
  6. Step 6: Final answer
    x = 378,923.81

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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.