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Finding the Third Proportional to 68,576 and 139,060

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Solution

The third proportional to 68,576 and 139,060 is: 281,989.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,576 : 139,060 = 139,060 : x
  2. Step 2: Convert to fraction form
    68,576/139,060 = 139,060/x
  3. Step 3: Cross multiply
    68,576x = 139,060 × 139,060
  4. Step 4: Simplify right side
    68,576x = 19,337,683,600
  5. Step 5: Solve for x
    x = 19,337,683,600/68,576
  6. Step 6: Final answer
    x = 281,989.09

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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.