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Finding the Third Proportional to 68,492 and 100,891

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Solution

The third proportional to 68,492 and 100,891 is: 148,615.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,492 : 100,891 = 100,891 : x
  2. Step 2: Convert to fraction form
    68,492/100,891 = 100,891/x
  3. Step 3: Cross multiply
    68,492x = 100,891 × 100,891
  4. Step 4: Simplify right side
    68,492x = 10,178,993,881
  5. Step 5: Solve for x
    x = 10,178,993,881/68,492
  6. Step 6: Final answer
    x = 148,615.81

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.