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Finding the Third Proportional to 386,878 and 848,491

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Solution

The third proportional to 386,878 and 848,491 is: 1,860,888.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,878 : 848,491 = 848,491 : x
  2. Step 2: Convert to fraction form
    386,878/848,491 = 848,491/x
  3. Step 3: Cross multiply
    386,878x = 848,491 × 848,491
  4. Step 4: Simplify right side
    386,878x = 719,936,977,081
  5. Step 5: Solve for x
    x = 719,936,977,081/386,878
  6. Step 6: Final answer
    x = 1,860,888.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.