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Finding the Third Proportional to 436,550 and 656,449

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Solution

The third proportional to 436,550 and 656,449 is: 987,115.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,550 : 656,449 = 656,449 : x
  2. Step 2: Convert to fraction form
    436,550/656,449 = 656,449/x
  3. Step 3: Cross multiply
    436,550x = 656,449 × 656,449
  4. Step 4: Simplify right side
    436,550x = 430,925,289,601
  5. Step 5: Solve for x
    x = 430,925,289,601/436,550
  6. Step 6: Final answer
    x = 987,115.54

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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.