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Finding the Third Proportional to 326,729 and 693,112

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Solution

The third proportional to 326,729 and 693,112 is: 1,470,344.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,729 : 693,112 = 693,112 : x
  2. Step 2: Convert to fraction form
    326,729/693,112 = 693,112/x
  3. Step 3: Cross multiply
    326,729x = 693,112 × 693,112
  4. Step 4: Simplify right side
    326,729x = 480,404,244,544
  5. Step 5: Solve for x
    x = 480,404,244,544/326,729
  6. Step 6: Final answer
    x = 1,470,344.67

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.