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Finding the Third Proportional to 133,188 and 285,960

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Solution

The third proportional to 133,188 and 285,960 is: 613,967.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,188 : 285,960 = 285,960 : x
  2. Step 2: Convert to fraction form
    133,188/285,960 = 285,960/x
  3. Step 3: Cross multiply
    133,188x = 285,960 × 285,960
  4. Step 4: Simplify right side
    133,188x = 81,773,121,600
  5. Step 5: Solve for x
    x = 81,773,121,600/133,188
  6. Step 6: Final answer
    x = 613,967.64

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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.