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Finding the Third Proportional to 290,832.75 and 436,556.25

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Solution

The third proportional to 290,832.75 and 436,556.25 is: 655,295.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,832.75 : 436,556.25 = 436,556.25 : x
  2. Step 2: Convert to fraction form
    290,832.75/436,556.25 = 436,556.25/x
  3. Step 3: Cross multiply
    290,832.75x = 436,556.25 × 436,556.25
  4. Step 4: Simplify right side
    290,832.75x = 190,581,359,414.06
  5. Step 5: Solve for x
    x = 190,581,359,414.06/290,832.75
  6. Step 6: Final answer
    x = 655,295.39

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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.