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Finding the Third Proportional to 65,000 and 140,112

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Solution

The third proportional to 65,000 and 140,112 is: 302,021.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,000 : 140,112 = 140,112 : x
  2. Step 2: Convert to fraction form
    65,000/140,112 = 140,112/x
  3. Step 3: Cross multiply
    65,000x = 140,112 × 140,112
  4. Step 4: Simplify right side
    65,000x = 19,631,372,544
  5. Step 5: Solve for x
    x = 19,631,372,544/65,000
  6. Step 6: Final answer
    x = 302,021.12

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.