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Finding the Third Proportional to 396,290 and 863,284

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Solution

The third proportional to 396,290 and 863,284 is: 1,880,590.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,290 : 863,284 = 863,284 : x
  2. Step 2: Convert to fraction form
    396,290/863,284 = 863,284/x
  3. Step 3: Cross multiply
    396,290x = 863,284 × 863,284
  4. Step 4: Simplify right side
    396,290x = 745,259,264,656
  5. Step 5: Solve for x
    x = 745,259,264,656/396,290
  6. Step 6: Final answer
    x = 1,880,590.64

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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.