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Finding the Third Proportional to 320,604 and 684,093

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Solution

The third proportional to 320,604 and 684,093 is: 1,459,692.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,604 : 684,093 = 684,093 : x
  2. Step 2: Convert to fraction form
    320,604/684,093 = 684,093/x
  3. Step 3: Cross multiply
    320,604x = 684,093 × 684,093
  4. Step 4: Simplify right side
    320,604x = 467,983,232,649
  5. Step 5: Solve for x
    x = 467,983,232,649/320,604
  6. Step 6: Final answer
    x = 1,459,692.43

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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.