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Finding the Third Proportional to 31,859 and 68,673

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Solution

The third proportional to 31,859 and 68,673 is: 148,026.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,859 : 68,673 = 68,673 : x
  2. Step 2: Convert to fraction form
    31,859/68,673 = 68,673/x
  3. Step 3: Cross multiply
    31,859x = 68,673 × 68,673
  4. Step 4: Simplify right side
    31,859x = 4,715,980,929
  5. Step 5: Solve for x
    x = 4,715,980,929/31,859
  6. Step 6: Final answer
    x = 148,026.65

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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.