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Finding the Third Proportional to 1,806 and 4,911

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Solution

The third proportional to 1,806 and 4,911 is: 13,354.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,806 : 4,911 = 4,911 : x
  2. Step 2: Convert to fraction form
    1,806/4,911 = 4,911/x
  3. Step 3: Cross multiply
    1,806x = 4,911 × 4,911
  4. Step 4: Simplify right side
    1,806x = 24,117,921
  5. Step 5: Solve for x
    x = 24,117,921/1,806
  6. Step 6: Final answer
    x = 13,354.33

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Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.