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Finding the Third Proportional to 133,219 and 290,843

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Solution

The third proportional to 133,219 and 290,843 is: 634,966.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,219 : 290,843 = 290,843 : x
  2. Step 2: Convert to fraction form
    133,219/290,843 = 290,843/x
  3. Step 3: Cross multiply
    133,219x = 290,843 × 290,843
  4. Step 4: Simplify right side
    133,219x = 84,589,650,649
  5. Step 5: Solve for x
    x = 84,589,650,649/133,219
  6. Step 6: Final answer
    x = 634,966.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.