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Finding the Third Proportional to 78,339 and 172,230

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Solution

The third proportional to 78,339 and 172,230 is: 378,651.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,339 : 172,230 = 172,230 : x
  2. Step 2: Convert to fraction form
    78,339/172,230 = 172,230/x
  3. Step 3: Cross multiply
    78,339x = 172,230 × 172,230
  4. Step 4: Simplify right side
    78,339x = 29,663,172,900
  5. Step 5: Solve for x
    x = 29,663,172,900/78,339
  6. Step 6: Final answer
    x = 378,651.41

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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.