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Finding the Third Proportional to 80,905 and 175,058

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Solution

The third proportional to 80,905 and 175,058 is: 378,781.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,905 : 175,058 = 175,058 : x
  2. Step 2: Convert to fraction form
    80,905/175,058 = 175,058/x
  3. Step 3: Cross multiply
    80,905x = 175,058 × 175,058
  4. Step 4: Simplify right side
    80,905x = 30,645,303,364
  5. Step 5: Solve for x
    x = 30,645,303,364/80,905
  6. Step 6: Final answer
    x = 378,781.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.