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Finding the Third Proportional to 202,117 and 440,115

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Solution

The third proportional to 202,117 and 440,115 is: 958,361.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,117 : 440,115 = 440,115 : x
  2. Step 2: Convert to fraction form
    202,117/440,115 = 440,115/x
  3. Step 3: Cross multiply
    202,117x = 440,115 × 440,115
  4. Step 4: Simplify right side
    202,117x = 193,701,213,225
  5. Step 5: Solve for x
    x = 193,701,213,225/202,117
  6. Step 6: Final answer
    x = 958,361.81

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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.