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Finding the Third Proportional to 3,415 and 5,257

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Solution

The third proportional to 3,415 and 5,257 is: 8,092.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415 : 5,257 = 5,257 : x
  2. Step 2: Convert to fraction form
    3,415/5,257 = 5,257/x
  3. Step 3: Cross multiply
    3,415x = 5,257 × 5,257
  4. Step 4: Simplify right side
    3,415x = 27,636,049
  5. Step 5: Solve for x
    x = 27,636,049/3,415
  6. Step 6: Final answer
    x = 8,092.55

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.