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Finding the Third Proportional to 416,736 and 645,696

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Solution

The third proportional to 416,736 and 645,696 is: 1,000,449.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,736 : 645,696 = 645,696 : x
  2. Step 2: Convert to fraction form
    416,736/645,696 = 645,696/x
  3. Step 3: Cross multiply
    416,736x = 645,696 × 645,696
  4. Step 4: Simplify right side
    416,736x = 416,923,324,416
  5. Step 5: Solve for x
    x = 416,923,324,416/416,736
  6. Step 6: Final answer
    x = 1,000,449.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.