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Finding the Third Proportional to 179,718 and 196,998

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Solution

The third proportional to 179,718 and 196,998 is: 215,939.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,718 : 196,998 = 196,998 : x
  2. Step 2: Convert to fraction form
    179,718/196,998 = 196,998/x
  3. Step 3: Cross multiply
    179,718x = 196,998 × 196,998
  4. Step 4: Simplify right side
    179,718x = 38,808,212,004
  5. Step 5: Solve for x
    x = 38,808,212,004/179,718
  6. Step 6: Final answer
    x = 215,939.48

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.