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Finding the Third Proportional to 1,820 and 4,949

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Solution

The third proportional to 1,820 and 4,949 is: 13,457.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,820 : 4,949 = 4,949 : x
  2. Step 2: Convert to fraction form
    1,820/4,949 = 4,949/x
  3. Step 3: Cross multiply
    1,820x = 4,949 × 4,949
  4. Step 4: Simplify right side
    1,820x = 24,492,601
  5. Step 5: Solve for x
    x = 24,492,601/1,820
  6. Step 6: Final answer
    x = 13,457.47

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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.