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Finding the Third Proportional to 620,658 and 949,035

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Solution

The third proportional to 620,658 and 949,035 is: 1,451,149.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,658 : 949,035 = 949,035 : x
  2. Step 2: Convert to fraction form
    620,658/949,035 = 949,035/x
  3. Step 3: Cross multiply
    620,658x = 949,035 × 949,035
  4. Step 4: Simplify right side
    620,658x = 900,667,431,225
  5. Step 5: Solve for x
    x = 900,667,431,225/620,658
  6. Step 6: Final answer
    x = 1,451,149.31

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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.