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Finding the Third Proportional to 133,208 and 285,415

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Solution

The third proportional to 133,208 and 285,415 is: 611,537.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,208 : 285,415 = 285,415 : x
  2. Step 2: Convert to fraction form
    133,208/285,415 = 285,415/x
  3. Step 3: Cross multiply
    133,208x = 285,415 × 285,415
  4. Step 4: Simplify right side
    133,208x = 81,461,722,225
  5. Step 5: Solve for x
    x = 81,461,722,225/133,208
  6. Step 6: Final answer
    x = 611,537.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.