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Finding the Third Proportional to 454,512 and 991,968

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Solution

The third proportional to 454,512 and 991,968 is: 2,164,960.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,512 : 991,968 = 991,968 : x
  2. Step 2: Convert to fraction form
    454,512/991,968 = 991,968/x
  3. Step 3: Cross multiply
    454,512x = 991,968 × 991,968
  4. Step 4: Simplify right side
    454,512x = 984,000,513,024
  5. Step 5: Solve for x
    x = 984,000,513,024/454,512
  6. Step 6: Final answer
    x = 2,164,960.47

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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.