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Finding the Third Proportional to 454,268 and 988,078

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Solution

The third proportional to 454,268 and 988,078 is: 2,149,167.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,268 : 988,078 = 988,078 : x
  2. Step 2: Convert to fraction form
    454,268/988,078 = 988,078/x
  3. Step 3: Cross multiply
    454,268x = 988,078 × 988,078
  4. Step 4: Simplify right side
    454,268x = 976,298,134,084
  5. Step 5: Solve for x
    x = 976,298,134,084/454,268
  6. Step 6: Final answer
    x = 2,149,167.75

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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.