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Finding the Third Proportional to 78,386 and 172,324

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Solution

The third proportional to 78,386 and 172,324 is: 378,837.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,386 : 172,324 = 172,324 : x
  2. Step 2: Convert to fraction form
    78,386/172,324 = 172,324/x
  3. Step 3: Cross multiply
    78,386x = 172,324 × 172,324
  4. Step 4: Simplify right side
    78,386x = 29,695,560,976
  5. Step 5: Solve for x
    x = 29,695,560,976/78,386
  6. Step 6: Final answer
    x = 378,837.56

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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.