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Finding the Third Proportional to 418,268 and 890,480

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Solution

The third proportional to 418,268 and 890,480 is: 1,895,805.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,268 : 890,480 = 890,480 : x
  2. Step 2: Convert to fraction form
    418,268/890,480 = 890,480/x
  3. Step 3: Cross multiply
    418,268x = 890,480 × 890,480
  4. Step 4: Simplify right side
    418,268x = 792,954,630,400
  5. Step 5: Solve for x
    x = 792,954,630,400/418,268
  6. Step 6: Final answer
    x = 1,895,805.15

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.