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Finding the Third Proportional to 3,178 and 3,478

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Solution

The third proportional to 3,178 and 3,478 is: 3,806.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178 : 3,478 = 3,478 : x
  2. Step 2: Convert to fraction form
    3,178/3,478 = 3,478/x
  3. Step 3: Cross multiply
    3,178x = 3,478 × 3,478
  4. Step 4: Simplify right side
    3,178x = 12,096,484
  5. Step 5: Solve for x
    x = 12,096,484/3,178
  6. Step 6: Final answer
    x = 3,806.32

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.