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Finding the Third Proportional to 98,771 and 218,899

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Solution

The third proportional to 98,771 and 218,899 is: 485,129.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,771 : 218,899 = 218,899 : x
  2. Step 2: Convert to fraction form
    98,771/218,899 = 218,899/x
  3. Step 3: Cross multiply
    98,771x = 218,899 × 218,899
  4. Step 4: Simplify right side
    98,771x = 47,916,772,201
  5. Step 5: Solve for x
    x = 47,916,772,201/98,771
  6. Step 6: Final answer
    x = 485,129.97

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.