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Finding the Third Proportional to 311,336 and 684,880

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Solution

The third proportional to 311,336 and 684,880 is: 1,506,605.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,336 : 684,880 = 684,880 : x
  2. Step 2: Convert to fraction form
    311,336/684,880 = 684,880/x
  3. Step 3: Cross multiply
    311,336x = 684,880 × 684,880
  4. Step 4: Simplify right side
    311,336x = 469,060,614,400
  5. Step 5: Solve for x
    x = 469,060,614,400/311,336
  6. Step 6: Final answer
    x = 1,506,605.77

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.