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Finding the Third Proportional to 65,136 and 135,456

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Solution

The third proportional to 65,136 and 135,456 is: 281,692.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,136 : 135,456 = 135,456 : x
  2. Step 2: Convert to fraction form
    65,136/135,456 = 135,456/x
  3. Step 3: Cross multiply
    65,136x = 135,456 × 135,456
  4. Step 4: Simplify right side
    65,136x = 18,348,327,936
  5. Step 5: Solve for x
    x = 18,348,327,936/65,136
  6. Step 6: Final answer
    x = 281,692.58

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.