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Finding the Third Proportional to 133,192 and 285,968

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Solution

The third proportional to 133,192 and 285,968 is: 613,983.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,192 : 285,968 = 285,968 : x
  2. Step 2: Convert to fraction form
    133,192/285,968 = 285,968/x
  3. Step 3: Cross multiply
    133,192x = 285,968 × 285,968
  4. Step 4: Simplify right side
    133,192x = 81,777,697,024
  5. Step 5: Solve for x
    x = 81,777,697,024/133,192
  6. Step 6: Final answer
    x = 613,983.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.