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Finding the Third Proportional to 198,651 and 255,066

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Solution

The third proportional to 198,651 and 255,066 is: 327,502.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,651 : 255,066 = 255,066 : x
  2. Step 2: Convert to fraction form
    198,651/255,066 = 255,066/x
  3. Step 3: Cross multiply
    198,651x = 255,066 × 255,066
  4. Step 4: Simplify right side
    198,651x = 65,058,664,356
  5. Step 5: Solve for x
    x = 65,058,664,356/198,651
  6. Step 6: Final answer
    x = 327,502.32

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.