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Finding the Third Proportional to 454,664 and 990,736

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Solution

The third proportional to 454,664 and 990,736 is: 2,158,864.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,664 : 990,736 = 990,736 : x
  2. Step 2: Convert to fraction form
    454,664/990,736 = 990,736/x
  3. Step 3: Cross multiply
    454,664x = 990,736 × 990,736
  4. Step 4: Simplify right side
    454,664x = 981,557,821,696
  5. Step 5: Solve for x
    x = 981,557,821,696/454,664
  6. Step 6: Final answer
    x = 2,158,864.18

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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.