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Finding the Third Proportional to 133,211 and 290,829

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Solution

The third proportional to 133,211 and 290,829 is: 634,943.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,211 : 290,829 = 290,829 : x
  2. Step 2: Convert to fraction form
    133,211/290,829 = 290,829/x
  3. Step 3: Cross multiply
    133,211x = 290,829 × 290,829
  4. Step 4: Simplify right side
    133,211x = 84,581,507,241
  5. Step 5: Solve for x
    x = 84,581,507,241/133,211
  6. Step 6: Final answer
    x = 634,943.87

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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.