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Finding the Third Proportional to 3,119 and 4,651

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Solution

The third proportional to 3,119 and 4,651 is: 6,935.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,119 : 4,651 = 4,651 : x
  2. Step 2: Convert to fraction form
    3,119/4,651 = 4,651/x
  3. Step 3: Cross multiply
    3,119x = 4,651 × 4,651
  4. Step 4: Simplify right side
    3,119x = 21,631,801
  5. Step 5: Solve for x
    x = 21,631,801/3,119
  6. Step 6: Final answer
    x = 6,935.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.