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Finding the Third Proportional to 68,600 and 139,108

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Solution

The third proportional to 68,600 and 139,108 is: 282,085.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,600 : 139,108 = 139,108 : x
  2. Step 2: Convert to fraction form
    68,600/139,108 = 139,108/x
  3. Step 3: Cross multiply
    68,600x = 139,108 × 139,108
  4. Step 4: Simplify right side
    68,600x = 19,351,035,664
  5. Step 5: Solve for x
    x = 19,351,035,664/68,600
  6. Step 6: Final answer
    x = 282,085.07

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.