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Finding the Third Proportional to 3,157 and 3,391

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Solution

The third proportional to 3,157 and 3,391 is: 3,642.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,157 : 3,391 = 3,391 : x
  2. Step 2: Convert to fraction form
    3,157/3,391 = 3,391/x
  3. Step 3: Cross multiply
    3,157x = 3,391 × 3,391
  4. Step 4: Simplify right side
    3,157x = 11,498,881
  5. Step 5: Solve for x
    x = 11,498,881/3,157
  6. Step 6: Final answer
    x = 3,642.34

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.