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Finding the Third Proportional to 118,191 and 181,661

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Solution

The third proportional to 118,191 and 181,661 is: 279,215.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,191 : 181,661 = 181,661 : x
  2. Step 2: Convert to fraction form
    118,191/181,661 = 181,661/x
  3. Step 3: Cross multiply
    118,191x = 181,661 × 181,661
  4. Step 4: Simplify right side
    118,191x = 33,000,718,921
  5. Step 5: Solve for x
    x = 33,000,718,921/118,191
  6. Step 6: Final answer
    x = 279,215.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.