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Finding the Third Proportional to 2,946 and 7,977

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Solution

The third proportional to 2,946 and 7,977 is: 21,599.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,946 : 7,977 = 7,977 : x
  2. Step 2: Convert to fraction form
    2,946/7,977 = 7,977/x
  3. Step 3: Cross multiply
    2,946x = 7,977 × 7,977
  4. Step 4: Simplify right side
    2,946x = 63,632,529
  5. Step 5: Solve for x
    x = 63,632,529/2,946
  6. Step 6: Final answer
    x = 21,599.64

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Why These Related Problems?

These problems maintain the same ratio (2.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.