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Finding the Third Proportional to 436,842 and 654,615

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Solution

The third proportional to 436,842 and 654,615 is: 980,951.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,842 : 654,615 = 654,615 : x
  2. Step 2: Convert to fraction form
    436,842/654,615 = 654,615/x
  3. Step 3: Cross multiply
    436,842x = 654,615 × 654,615
  4. Step 4: Simplify right side
    436,842x = 428,520,798,225
  5. Step 5: Solve for x
    x = 428,520,798,225/436,842
  6. Step 6: Final answer
    x = 980,951.46

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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.