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Finding the Third Proportional to 445,836 and 684,306

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Solution

The third proportional to 445,836 and 684,306 is: 1,050,329.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,836 : 684,306 = 684,306 : x
  2. Step 2: Convert to fraction form
    445,836/684,306 = 684,306/x
  3. Step 3: Cross multiply
    445,836x = 684,306 × 684,306
  4. Step 4: Simplify right side
    445,836x = 468,274,701,636
  5. Step 5: Solve for x
    x = 468,274,701,636/445,836
  6. Step 6: Final answer
    x = 1,050,329.50

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.