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Finding the Third Proportional to 80,040 and 172,224

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Solution

The third proportional to 80,040 and 172,224 is: 370,578.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,040 : 172,224 = 172,224 : x
  2. Step 2: Convert to fraction form
    80,040/172,224 = 172,224/x
  3. Step 3: Cross multiply
    80,040x = 172,224 × 172,224
  4. Step 4: Simplify right side
    80,040x = 29,661,106,176
  5. Step 5: Solve for x
    x = 29,661,106,176/80,040
  6. Step 6: Final answer
    x = 370,578.54

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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.