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Finding the Third Proportional to 77,910 and 170,229

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Solution

The third proportional to 77,910 and 170,229 is: 371,940.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,910 : 170,229 = 170,229 : x
  2. Step 2: Convert to fraction form
    77,910/170,229 = 170,229/x
  3. Step 3: Cross multiply
    77,910x = 170,229 × 170,229
  4. Step 4: Simplify right side
    77,910x = 28,977,912,441
  5. Step 5: Solve for x
    x = 28,977,912,441/77,910
  6. Step 6: Final answer
    x = 371,940.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.