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Finding the Third Proportional to 21,264 and 39,136

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Solution

The third proportional to 21,264 and 39,136 is: 72,029.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,264 : 39,136 = 39,136 : x
  2. Step 2: Convert to fraction form
    21,264/39,136 = 39,136/x
  3. Step 3: Cross multiply
    21,264x = 39,136 × 39,136
  4. Step 4: Simplify right side
    21,264x = 1,531,626,496
  5. Step 5: Solve for x
    x = 1,531,626,496/21,264
  6. Step 6: Final answer
    x = 72,029.09

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.