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Finding the Third Proportional to 1,670 and 4,517

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Solution

The third proportional to 1,670 and 4,517 is: 12,217.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,670 : 4,517 = 4,517 : x
  2. Step 2: Convert to fraction form
    1,670/4,517 = 4,517/x
  3. Step 3: Cross multiply
    1,670x = 4,517 × 4,517
  4. Step 4: Simplify right side
    1,670x = 20,403,289
  5. Step 5: Solve for x
    x = 20,403,289/1,670
  6. Step 6: Final answer
    x = 12,217.54

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Why These Related Problems?

These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.