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Finding the Third Proportional to 620,912 and 949,186

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Solution

The third proportional to 620,912 and 949,186 is: 1,451,017.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,912 : 949,186 = 949,186 : x
  2. Step 2: Convert to fraction form
    620,912/949,186 = 949,186/x
  3. Step 3: Cross multiply
    620,912x = 949,186 × 949,186
  4. Step 4: Simplify right side
    620,912x = 900,954,062,596
  5. Step 5: Solve for x
    x = 900,954,062,596/620,912
  6. Step 6: Final answer
    x = 1,451,017.31

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.