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Finding the Third Proportional to 133,770 and 183,431.50

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Solution

The third proportional to 133,770 and 183,431.50 is: 251,529.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,770 : 183,431.50 = 183,431.50 : x
  2. Step 2: Convert to fraction form
    133,770/183,431.50 = 183,431.50/x
  3. Step 3: Cross multiply
    133,770x = 183,431.50 × 183,431.50
  4. Step 4: Simplify right side
    133,770x = 33,647,115,192.25
  5. Step 5: Solve for x
    x = 33,647,115,192.25/133,770
  6. Step 6: Final answer
    x = 251,529.60

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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.