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Finding the Third Proportional to 436,084 and 656,286

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Solution

The third proportional to 436,084 and 656,286 is: 987,679.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,084 : 656,286 = 656,286 : x
  2. Step 2: Convert to fraction form
    436,084/656,286 = 656,286/x
  3. Step 3: Cross multiply
    436,084x = 656,286 × 656,286
  4. Step 4: Simplify right side
    436,084x = 430,711,313,796
  5. Step 5: Solve for x
    x = 430,711,313,796/436,084
  6. Step 6: Final answer
    x = 987,679.70

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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.