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Finding the Third Proportional to 321,633 and 684,865

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Solution

The third proportional to 321,633 and 684,865 is: 1,458,308.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,633 : 684,865 = 684,865 : x
  2. Step 2: Convert to fraction form
    321,633/684,865 = 684,865/x
  3. Step 3: Cross multiply
    321,633x = 684,865 × 684,865
  4. Step 4: Simplify right side
    321,633x = 469,040,068,225
  5. Step 5: Solve for x
    x = 469,040,068,225/321,633
  6. Step 6: Final answer
    x = 1,458,308.28

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.