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Finding the Third Proportional to 620,869 and 1,330,286

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Solution

The third proportional to 620,869 and 1,330,286 is: 2,850,296.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,869 : 1,330,286 = 1,330,286 : x
  2. Step 2: Convert to fraction form
    620,869/1,330,286 = 1,330,286/x
  3. Step 3: Cross multiply
    620,869x = 1,330,286 × 1,330,286
  4. Step 4: Simplify right side
    620,869x = 1,769,660,841,796
  5. Step 5: Solve for x
    x = 1,769,660,841,796/620,869
  6. Step 6: Final answer
    x = 2,850,296.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.