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Finding the Third Proportional to 68,544 and 146,136

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Solution

The third proportional to 68,544 and 146,136 is: 311,562.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,544 : 146,136 = 146,136 : x
  2. Step 2: Convert to fraction form
    68,544/146,136 = 146,136/x
  3. Step 3: Cross multiply
    68,544x = 146,136 × 146,136
  4. Step 4: Simplify right side
    68,544x = 21,355,730,496
  5. Step 5: Solve for x
    x = 21,355,730,496/68,544
  6. Step 6: Final answer
    x = 311,562.36

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.