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Finding the Third Proportional to 384,828 and 890,778

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Solution

The third proportional to 384,828 and 890,778 is: 2,061,922.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,828 : 890,778 = 890,778 : x
  2. Step 2: Convert to fraction form
    384,828/890,778 = 890,778/x
  3. Step 3: Cross multiply
    384,828x = 890,778 × 890,778
  4. Step 4: Simplify right side
    384,828x = 793,485,445,284
  5. Step 5: Solve for x
    x = 793,485,445,284/384,828
  6. Step 6: Final answer
    x = 2,061,922.33

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.