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Finding the Third Proportional to 454,518 and 991,980

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Solution

The third proportional to 454,518 and 991,980 is: 2,164,984.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,518 : 991,980 = 991,980 : x
  2. Step 2: Convert to fraction form
    454,518/991,980 = 991,980/x
  3. Step 3: Cross multiply
    454,518x = 991,980 × 991,980
  4. Step 4: Simplify right side
    454,518x = 984,024,320,400
  5. Step 5: Solve for x
    x = 984,024,320,400/454,518
  6. Step 6: Final answer
    x = 2,164,984.27

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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.