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Finding the Third Proportional to 290,982.38 and 436,873.50

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Solution

The third proportional to 290,982.38 and 436,873.50 is: 655,910.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,982.38 : 436,873.50 = 436,873.50 : x
  2. Step 2: Convert to fraction form
    290,982.38/436,873.50 = 436,873.50/x
  3. Step 3: Cross multiply
    290,982.38x = 436,873.50 × 436,873.50
  4. Step 4: Simplify right side
    290,982.38x = 190,858,455,002.25
  5. Step 5: Solve for x
    x = 190,858,455,002.25/290,982.38
  6. Step 6: Final answer
    x = 655,910.71

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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.