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Finding the Third Proportional to 620,811 and 1,330,170

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Solution

The third proportional to 620,811 and 1,330,170 is: 2,850,065.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,811 : 1,330,170 = 1,330,170 : x
  2. Step 2: Convert to fraction form
    620,811/1,330,170 = 1,330,170/x
  3. Step 3: Cross multiply
    620,811x = 1,330,170 × 1,330,170
  4. Step 4: Simplify right side
    620,811x = 1,769,352,228,900
  5. Step 5: Solve for x
    x = 1,769,352,228,900/620,811
  6. Step 6: Final answer
    x = 2,850,065.85

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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.