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Finding the Third Proportional to 30,880 and 68,672

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Solution

The third proportional to 30,880 and 68,672 is: 152,715.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,880 : 68,672 = 68,672 : x
  2. Step 2: Convert to fraction form
    30,880/68,672 = 68,672/x
  3. Step 3: Cross multiply
    30,880x = 68,672 × 68,672
  4. Step 4: Simplify right side
    30,880x = 4,715,843,584
  5. Step 5: Solve for x
    x = 4,715,843,584/30,880
  6. Step 6: Final answer
    x = 152,715.14

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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.