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Finding the Third Proportional to 78,058 and 170,372

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Solution

The third proportional to 78,058 and 170,372 is: 371,859.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,058 : 170,372 = 170,372 : x
  2. Step 2: Convert to fraction form
    78,058/170,372 = 170,372/x
  3. Step 3: Cross multiply
    78,058x = 170,372 × 170,372
  4. Step 4: Simplify right side
    78,058x = 29,026,618,384
  5. Step 5: Solve for x
    x = 29,026,618,384/78,058
  6. Step 6: Final answer
    x = 371,859.62

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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.