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Finding the Third Proportional to 3,870 and 6,859

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Solution

The third proportional to 3,870 and 6,859 is: 12,156.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,870 : 6,859 = 6,859 : x
  2. Step 2: Convert to fraction form
    3,870/6,859 = 6,859/x
  3. Step 3: Cross multiply
    3,870x = 6,859 × 6,859
  4. Step 4: Simplify right side
    3,870x = 47,045,881
  5. Step 5: Solve for x
    x = 47,045,881/3,870
  6. Step 6: Final answer
    x = 12,156.56

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.