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Finding the Third Proportional to 79,328 and 171,722

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Solution

The third proportional to 79,328 and 171,722 is: 371,728.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,328 : 171,722 = 171,722 : x
  2. Step 2: Convert to fraction form
    79,328/171,722 = 171,722/x
  3. Step 3: Cross multiply
    79,328x = 171,722 × 171,722
  4. Step 4: Simplify right side
    79,328x = 29,488,445,284
  5. Step 5: Solve for x
    x = 29,488,445,284/79,328
  6. Step 6: Final answer
    x = 371,728.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.