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Finding the Third Proportional to 454,321.50 and 991,157

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Solution

The third proportional to 454,321.50 and 991,157 is: 2,162,328.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,321.50 : 991,157 = 991,157 : x
  2. Step 2: Convert to fraction form
    454,321.50/991,157 = 991,157/x
  3. Step 3: Cross multiply
    454,321.50x = 991,157 × 991,157
  4. Step 4: Simplify right side
    454,321.50x = 982,392,198,649
  5. Step 5: Solve for x
    x = 982,392,198,649/454,321.50
  6. Step 6: Final answer
    x = 2,162,328.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.