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Finding the Third Proportional to 178,416 and 269,136

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Solution

The third proportional to 178,416 and 269,136 is: 405,984.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,416 : 269,136 = 269,136 : x
  2. Step 2: Convert to fraction form
    178,416/269,136 = 269,136/x
  3. Step 3: Cross multiply
    178,416x = 269,136 × 269,136
  4. Step 4: Simplify right side
    178,416x = 72,434,186,496
  5. Step 5: Solve for x
    x = 72,434,186,496/178,416
  6. Step 6: Final answer
    x = 405,984.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.