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Finding the Third Proportional to 454,794.75 and 990,285.75

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Solution

The third proportional to 454,794.75 and 990,285.75 is: 2,156,282.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,794.75 : 990,285.75 = 990,285.75 : x
  2. Step 2: Convert to fraction form
    454,794.75/990,285.75 = 990,285.75/x
  3. Step 3: Cross multiply
    454,794.75x = 990,285.75 × 990,285.75
  4. Step 4: Simplify right side
    454,794.75x = 980,665,866,653.06
  5. Step 5: Solve for x
    x = 980,665,866,653.06/454,794.75
  6. Step 6: Final answer
    x = 2,156,282.29

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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.