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Finding the Third Proportional to 454,813 and 990,323

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Solution

The third proportional to 454,813 and 990,323 is: 2,156,357.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,813 : 990,323 = 990,323 : x
  2. Step 2: Convert to fraction form
    454,813/990,323 = 990,323/x
  3. Step 3: Cross multiply
    454,813x = 990,323 × 990,323
  4. Step 4: Simplify right side
    454,813x = 980,739,644,329
  5. Step 5: Solve for x
    x = 980,739,644,329/454,813
  6. Step 6: Final answer
    x = 2,156,357.99

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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.