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Finding the Third Proportional to 659,224 and 990,591

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Solution

The third proportional to 659,224 and 990,591 is: 1,488,523.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,224 : 990,591 = 990,591 : x
  2. Step 2: Convert to fraction form
    659,224/990,591 = 990,591/x
  3. Step 3: Cross multiply
    659,224x = 990,591 × 990,591
  4. Step 4: Simplify right side
    659,224x = 981,270,529,281
  5. Step 5: Solve for x
    x = 981,270,529,281/659,224
  6. Step 6: Final answer
    x = 1,488,523.67

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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.