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Finding the Third Proportional to 290,630 and 436,233

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Solution

The third proportional to 290,630 and 436,233 is: 654,781.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,630 : 436,233 = 436,233 : x
  2. Step 2: Convert to fraction form
    290,630/436,233 = 436,233/x
  3. Step 3: Cross multiply
    290,630x = 436,233 × 436,233
  4. Step 4: Simplify right side
    290,630x = 190,299,230,289
  5. Step 5: Solve for x
    x = 190,299,230,289/290,630
  6. Step 6: Final answer
    x = 654,781.79

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Why These Related Problems?

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