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Finding the Third Proportional to 133,105 and 290,774

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Solution

The third proportional to 133,105 and 290,774 is: 635,209.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,105 : 290,774 = 290,774 : x
  2. Step 2: Convert to fraction form
    133,105/290,774 = 290,774/x
  3. Step 3: Cross multiply
    133,105x = 290,774 × 290,774
  4. Step 4: Simplify right side
    133,105x = 84,549,519,076
  5. Step 5: Solve for x
    x = 84,549,519,076/133,105
  6. Step 6: Final answer
    x = 635,209.19

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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.