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Finding the Third Proportional to 133,132.78 and 181,887.19

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Solution

The third proportional to 133,132.78 and 181,887.19 is: 248,495.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,132.78 : 181,887.19 = 181,887.19 : x
  2. Step 2: Convert to fraction form
    133,132.78/181,887.19 = 181,887.19/x
  3. Step 3: Cross multiply
    133,132.78x = 181,887.19 × 181,887.19
  4. Step 4: Simplify right side
    133,132.78x = 33,082,948,976.66
  5. Step 5: Solve for x
    x = 33,082,948,976.66/133,132.78
  6. Step 6: Final answer
    x = 248,495.89

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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.