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Finding the Third Proportional to 202,138 and 440,136

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Solution

The third proportional to 202,138 and 440,136 is: 958,353.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,138 : 440,136 = 440,136 : x
  2. Step 2: Convert to fraction form
    202,138/440,136 = 440,136/x
  3. Step 3: Cross multiply
    202,138x = 440,136 × 440,136
  4. Step 4: Simplify right side
    202,138x = 193,719,698,496
  5. Step 5: Solve for x
    x = 193,719,698,496/202,138
  6. Step 6: Final answer
    x = 958,353.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.