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Finding the Third Proportional to 64,066 and 140,199

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Solution

The third proportional to 64,066 and 140,199 is: 306,804.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,066 : 140,199 = 140,199 : x
  2. Step 2: Convert to fraction form
    64,066/140,199 = 140,199/x
  3. Step 3: Cross multiply
    64,066x = 140,199 × 140,199
  4. Step 4: Simplify right side
    64,066x = 19,655,759,601
  5. Step 5: Solve for x
    x = 19,655,759,601/64,066
  6. Step 6: Final answer
    x = 306,804.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.