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Finding the Third Proportional to 77,912 and 170,233

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Solution

The third proportional to 77,912 and 170,233 is: 371,948.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,912 : 170,233 = 170,233 : x
  2. Step 2: Convert to fraction form
    77,912/170,233 = 170,233/x
  3. Step 3: Cross multiply
    77,912x = 170,233 × 170,233
  4. Step 4: Simplify right side
    77,912x = 28,979,274,289
  5. Step 5: Solve for x
    x = 28,979,274,289/77,912
  6. Step 6: Final answer
    x = 371,948.79

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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.