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Finding the Third Proportional to 200,319.75 and 311,968.13

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Solution

The third proportional to 200,319.75 and 311,968.13 is: 485,843.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,319.75 : 311,968.13 = 311,968.13 : x
  2. Step 2: Convert to fraction form
    200,319.75/311,968.13 = 311,968.13/x
  3. Step 3: Cross multiply
    200,319.75x = 311,968.13 × 311,968.13
  4. Step 4: Simplify right side
    200,319.75x = 97,324,111,016.02
  5. Step 5: Solve for x
    x = 97,324,111,016.02/200,319.75
  6. Step 6: Final answer
    x = 485,843.81

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.