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Finding the Third Proportional to 115,136 and 271,405

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Solution

The third proportional to 115,136 and 271,405 is: 639,771.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,136 : 271,405 = 271,405 : x
  2. Step 2: Convert to fraction form
    115,136/271,405 = 271,405/x
  3. Step 3: Cross multiply
    115,136x = 271,405 × 271,405
  4. Step 4: Simplify right side
    115,136x = 73,660,674,025
  5. Step 5: Solve for x
    x = 73,660,674,025/115,136
  6. Step 6: Final answer
    x = 639,771.00

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.