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Finding the Third Proportional to 133,188 and 285,324

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Solution

The third proportional to 133,188 and 285,324 is: 611,239.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,188 : 285,324 = 285,324 : x
  2. Step 2: Convert to fraction form
    133,188/285,324 = 285,324/x
  3. Step 3: Cross multiply
    133,188x = 285,324 × 285,324
  4. Step 4: Simplify right side
    133,188x = 81,409,784,976
  5. Step 5: Solve for x
    x = 81,409,784,976/133,188
  6. Step 6: Final answer
    x = 611,239.64

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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.