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Finding the Third Proportional to 1,878 and 3,951

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Solution

The third proportional to 1,878 and 3,951 is: 8,312.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,878 : 3,951 = 3,951 : x
  2. Step 2: Convert to fraction form
    1,878/3,951 = 3,951/x
  3. Step 3: Cross multiply
    1,878x = 3,951 × 3,951
  4. Step 4: Simplify right side
    1,878x = 15,610,401
  5. Step 5: Solve for x
    x = 15,610,401/1,878
  6. Step 6: Final answer
    x = 8,312.25

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.