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Finding the Third Proportional to 31,003 and 68,894

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Solution

The third proportional to 31,003 and 68,894 is: 153,094.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,003 : 68,894 = 68,894 : x
  2. Step 2: Convert to fraction form
    31,003/68,894 = 68,894/x
  3. Step 3: Cross multiply
    31,003x = 68,894 × 68,894
  4. Step 4: Simplify right side
    31,003x = 4,746,383,236
  5. Step 5: Solve for x
    x = 4,746,383,236/31,003
  6. Step 6: Final answer
    x = 153,094.32

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.