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Finding the Third Proportional to 133,192 and 283,335

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Solution

The third proportional to 133,192 and 283,335 is: 602,729.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,192 : 283,335 = 283,335 : x
  2. Step 2: Convert to fraction form
    133,192/283,335 = 283,335/x
  3. Step 3: Cross multiply
    133,192x = 283,335 × 283,335
  4. Step 4: Simplify right side
    133,192x = 80,278,722,225
  5. Step 5: Solve for x
    x = 80,278,722,225/133,192
  6. Step 6: Final answer
    x = 602,729.31

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.