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Finding the Third Proportional to 454,169 and 985,612

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Solution

The third proportional to 454,169 and 985,612 is: 2,138,919.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,169 : 985,612 = 985,612 : x
  2. Step 2: Convert to fraction form
    454,169/985,612 = 985,612/x
  3. Step 3: Cross multiply
    454,169x = 985,612 × 985,612
  4. Step 4: Simplify right side
    454,169x = 971,431,014,544
  5. Step 5: Solve for x
    x = 971,431,014,544/454,169
  6. Step 6: Final answer
    x = 2,138,919.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.