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Finding the Third Proportional to 398,994 and 853,284

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Solution

The third proportional to 398,994 and 853,284 is: 1,824,823.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,994 : 853,284 = 853,284 : x
  2. Step 2: Convert to fraction form
    398,994/853,284 = 853,284/x
  3. Step 3: Cross multiply
    398,994x = 853,284 × 853,284
  4. Step 4: Simplify right side
    398,994x = 728,093,584,656
  5. Step 5: Solve for x
    x = 728,093,584,656/398,994
  6. Step 6: Final answer
    x = 1,824,823.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.