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Finding the Third Proportional to 454,662 and 990,732

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Solution

The third proportional to 454,662 and 990,732 is: 2,158,856.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,662 : 990,732 = 990,732 : x
  2. Step 2: Convert to fraction form
    454,662/990,732 = 990,732/x
  3. Step 3: Cross multiply
    454,662x = 990,732 × 990,732
  4. Step 4: Simplify right side
    454,662x = 981,549,895,824
  5. Step 5: Solve for x
    x = 981,549,895,824/454,662
  6. Step 6: Final answer
    x = 2,158,856.24

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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.