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Finding the Third Proportional to 31,220 and 73,696

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Solution

The third proportional to 31,220 and 73,696 is: 173,962.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,220 : 73,696 = 73,696 : x
  2. Step 2: Convert to fraction form
    31,220/73,696 = 73,696/x
  3. Step 3: Cross multiply
    31,220x = 73,696 × 73,696
  4. Step 4: Simplify right side
    31,220x = 5,431,100,416
  5. Step 5: Solve for x
    x = 5,431,100,416/31,220
  6. Step 6: Final answer
    x = 173,962.22

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.