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Finding the Third Proportional to 143,003 and 273,019

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Solution

The third proportional to 143,003 and 273,019 is: 521,243.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,003 : 273,019 = 273,019 : x
  2. Step 2: Convert to fraction form
    143,003/273,019 = 273,019/x
  3. Step 3: Cross multiply
    143,003x = 273,019 × 273,019
  4. Step 4: Simplify right side
    143,003x = 74,539,374,361
  5. Step 5: Solve for x
    x = 74,539,374,361/143,003
  6. Step 6: Final answer
    x = 521,243.43

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.