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Finding the Third Proportional to 452,493 and 949,050

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Solution

The third proportional to 452,493 and 949,050 is: 1,990,518.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,493 : 949,050 = 949,050 : x
  2. Step 2: Convert to fraction form
    452,493/949,050 = 949,050/x
  3. Step 3: Cross multiply
    452,493x = 949,050 × 949,050
  4. Step 4: Simplify right side
    452,493x = 900,695,902,500
  5. Step 5: Solve for x
    x = 900,695,902,500/452,493
  6. Step 6: Final answer
    x = 1,990,518.97

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.