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Finding the Third Proportional to 454,933.50 and 990,136.50

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Solution

The third proportional to 454,933.50 and 990,136.50 is: 2,154,974.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,933.50 : 990,136.50 = 990,136.50 : x
  2. Step 2: Convert to fraction form
    454,933.50/990,136.50 = 990,136.50/x
  3. Step 3: Cross multiply
    454,933.50x = 990,136.50 × 990,136.50
  4. Step 4: Simplify right side
    454,933.50x = 980,370,288,632.25
  5. Step 5: Solve for x
    x = 980,370,288,632.25/454,933.50
  6. Step 6: Final answer
    x = 2,154,974.93

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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.