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Finding the Third Proportional to 78,340 and 172,232

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Solution

The third proportional to 78,340 and 172,232 is: 378,655.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,340 : 172,232 = 172,232 : x
  2. Step 2: Convert to fraction form
    78,340/172,232 = 172,232/x
  3. Step 3: Cross multiply
    78,340x = 172,232 × 172,232
  4. Step 4: Simplify right side
    78,340x = 29,663,861,824
  5. Step 5: Solve for x
    x = 29,663,861,824/78,340
  6. Step 6: Final answer
    x = 378,655.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.