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Finding the Third Proportional to 454,345 and 991,201

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Solution

The third proportional to 454,345 and 991,201 is: 2,162,408.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,345 : 991,201 = 991,201 : x
  2. Step 2: Convert to fraction form
    454,345/991,201 = 991,201/x
  3. Step 3: Cross multiply
    454,345x = 991,201 × 991,201
  4. Step 4: Simplify right side
    454,345x = 982,479,422,401
  5. Step 5: Solve for x
    x = 982,479,422,401/454,345
  6. Step 6: Final answer
    x = 2,162,408.35

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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.