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Finding the Third Proportional to 33,421 and 71,136

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Solution

The third proportional to 33,421 and 71,136 is: 151,411.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,421 : 71,136 = 71,136 : x
  2. Step 2: Convert to fraction form
    33,421/71,136 = 71,136/x
  3. Step 3: Cross multiply
    33,421x = 71,136 × 71,136
  4. Step 4: Simplify right side
    33,421x = 5,060,330,496
  5. Step 5: Solve for x
    x = 5,060,330,496/33,421
  6. Step 6: Final answer
    x = 151,411.70

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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.