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Finding the Third Proportional to 84,859 and 176,690

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Solution

The third proportional to 84,859 and 176,690 is: 367,896.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,859 : 176,690 = 176,690 : x
  2. Step 2: Convert to fraction form
    84,859/176,690 = 176,690/x
  3. Step 3: Cross multiply
    84,859x = 176,690 × 176,690
  4. Step 4: Simplify right side
    84,859x = 31,219,356,100
  5. Step 5: Solve for x
    x = 31,219,356,100/84,859
  6. Step 6: Final answer
    x = 367,896.82

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.