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Finding the Third Proportional to 2,110 and 3,072

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Solution

The third proportional to 2,110 and 3,072 is: 4,472.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,110 : 3,072 = 3,072 : x
  2. Step 2: Convert to fraction form
    2,110/3,072 = 3,072/x
  3. Step 3: Cross multiply
    2,110x = 3,072 × 3,072
  4. Step 4: Simplify right side
    2,110x = 9,437,184
  5. Step 5: Solve for x
    x = 9,437,184/2,110
  6. Step 6: Final answer
    x = 4,472.60

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.