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Finding the Third Proportional to 143,243.16 and 303,561.28

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Solution

The third proportional to 143,243.16 and 303,561.28 is: 643,307.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,243.16 : 303,561.28 = 303,561.28 : x
  2. Step 2: Convert to fraction form
    143,243.16/303,561.28 = 303,561.28/x
  3. Step 3: Cross multiply
    143,243.16x = 303,561.28 × 303,561.28
  4. Step 4: Simplify right side
    143,243.16x = 92,149,451,474.14
  5. Step 5: Solve for x
    x = 92,149,451,474.14/143,243.16
  6. Step 6: Final answer
    x = 643,307.88

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.