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Finding the Third Proportional to 320,226.75 and 693,049.50

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Solution

The third proportional to 320,226.75 and 693,049.50 is: 1,499,929.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,226.75 : 693,049.50 = 693,049.50 : x
  2. Step 2: Convert to fraction form
    320,226.75/693,049.50 = 693,049.50/x
  3. Step 3: Cross multiply
    320,226.75x = 693,049.50 × 693,049.50
  4. Step 4: Simplify right side
    320,226.75x = 480,317,609,450.25
  5. Step 5: Solve for x
    x = 480,317,609,450.25/320,226.75
  6. Step 6: Final answer
    x = 1,499,929.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.