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Finding the Third Proportional to 133,821 and 290,970

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Solution

The third proportional to 133,821 and 290,970 is: 632,662.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,821 : 290,970 = 290,970 : x
  2. Step 2: Convert to fraction form
    133,821/290,970 = 290,970/x
  3. Step 3: Cross multiply
    133,821x = 290,970 × 290,970
  4. Step 4: Simplify right side
    133,821x = 84,663,540,900
  5. Step 5: Solve for x
    x = 84,663,540,900/133,821
  6. Step 6: Final answer
    x = 632,662.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.