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Finding the Third Proportional to 68,614 and 139,136

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Solution

The third proportional to 68,614 and 139,136 is: 282,141.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,614 : 139,136 = 139,136 : x
  2. Step 2: Convert to fraction form
    68,614/139,136 = 139,136/x
  3. Step 3: Cross multiply
    68,614x = 139,136 × 139,136
  4. Step 4: Simplify right side
    68,614x = 19,358,826,496
  5. Step 5: Solve for x
    x = 19,358,826,496/68,614
  6. Step 6: Final answer
    x = 282,141.06

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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.