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Finding the Third Proportional to 3,415 and 5,159

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Solution

The third proportional to 3,415 and 5,159 is: 7,793.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415 : 5,159 = 5,159 : x
  2. Step 2: Convert to fraction form
    3,415/5,159 = 5,159/x
  3. Step 3: Cross multiply
    3,415x = 5,159 × 5,159
  4. Step 4: Simplify right side
    3,415x = 26,615,281
  5. Step 5: Solve for x
    x = 26,615,281/3,415
  6. Step 6: Final answer
    x = 7,793.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.