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Finding the Third Proportional to 143,241.19 and 303,557.53

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Solution

The third proportional to 143,241.19 and 303,557.53 is: 643,300.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,241.19 : 303,557.53 = 303,557.53 : x
  2. Step 2: Convert to fraction form
    143,241.19/303,557.53 = 303,557.53/x
  3. Step 3: Cross multiply
    143,241.19x = 303,557.53 × 303,557.53
  4. Step 4: Simplify right side
    143,241.19x = 92,147,174,778.59
  5. Step 5: Solve for x
    x = 92,147,174,778.59/143,241.19
  6. Step 6: Final answer
    x = 643,300.83

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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.