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Finding the Third Proportional to 21,412 and 46,136

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Solution

The third proportional to 21,412 and 46,136 is: 99,408.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,412 : 46,136 = 46,136 : x
  2. Step 2: Convert to fraction form
    21,412/46,136 = 46,136/x
  3. Step 3: Cross multiply
    21,412x = 46,136 × 46,136
  4. Step 4: Simplify right side
    21,412x = 2,128,530,496
  5. Step 5: Solve for x
    x = 2,128,530,496/21,412
  6. Step 6: Final answer
    x = 99,408.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.