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Finding the Third Proportional to 3,971 and 5,470

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Solution

The third proportional to 3,971 and 5,470 is: 7,534.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,971 : 5,470 = 5,470 : x
  2. Step 2: Convert to fraction form
    3,971/5,470 = 5,470/x
  3. Step 3: Cross multiply
    3,971x = 5,470 × 5,470
  4. Step 4: Simplify right side
    3,971x = 29,920,900
  5. Step 5: Solve for x
    x = 29,920,900/3,971
  6. Step 6: Final answer
    x = 7,534.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.