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Finding the Third Proportional to 133,307 and 204,415

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Solution

The third proportional to 133,307 and 204,415 is: 313,453.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,307 : 204,415 = 204,415 : x
  2. Step 2: Convert to fraction form
    133,307/204,415 = 204,415/x
  3. Step 3: Cross multiply
    133,307x = 204,415 × 204,415
  4. Step 4: Simplify right side
    133,307x = 41,785,492,225
  5. Step 5: Solve for x
    x = 41,785,492,225/133,307
  6. Step 6: Final answer
    x = 313,453.10

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.