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Finding the Third Proportional to 68,480 and 102,936

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Solution

The third proportional to 68,480 and 102,936 is: 154,728.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,480 : 102,936 = 102,936 : x
  2. Step 2: Convert to fraction form
    68,480/102,936 = 102,936/x
  3. Step 3: Cross multiply
    68,480x = 102,936 × 102,936
  4. Step 4: Simplify right side
    68,480x = 10,595,820,096
  5. Step 5: Solve for x
    x = 10,595,820,096/68,480
  6. Step 6: Final answer
    x = 154,728.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.