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Finding the Third Proportional to 290,600 and 436,192

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Solution

The third proportional to 290,600 and 436,192 is: 654,726.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,600 : 436,192 = 436,192 : x
  2. Step 2: Convert to fraction form
    290,600/436,192 = 436,192/x
  3. Step 3: Cross multiply
    290,600x = 436,192 × 436,192
  4. Step 4: Simplify right side
    290,600x = 190,263,460,864
  5. Step 5: Solve for x
    x = 190,263,460,864/290,600
  6. Step 6: Final answer
    x = 654,726.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.