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Finding the Third Proportional to 133,846 and 183,530

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Solution

The third proportional to 133,846 and 183,530 is: 251,656.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,846 : 183,530 = 183,530 : x
  2. Step 2: Convert to fraction form
    133,846/183,530 = 183,530/x
  3. Step 3: Cross multiply
    133,846x = 183,530 × 183,530
  4. Step 4: Simplify right side
    133,846x = 33,683,260,900
  5. Step 5: Solve for x
    x = 33,683,260,900/133,846
  6. Step 6: Final answer
    x = 251,656.84

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.