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Finding the Third Proportional to 68,512 and 149,443

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Solution

The third proportional to 68,512 and 149,443 is: 325,975.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,512 : 149,443 = 149,443 : x
  2. Step 2: Convert to fraction form
    68,512/149,443 = 149,443/x
  3. Step 3: Cross multiply
    68,512x = 149,443 × 149,443
  4. Step 4: Simplify right side
    68,512x = 22,333,210,249
  5. Step 5: Solve for x
    x = 22,333,210,249/68,512
  6. Step 6: Final answer
    x = 325,975.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.