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Finding the Third Proportional to 2,738.79 and 4,471.70

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Solution

The third proportional to 2,738.79 and 4,471.70 is: 7,301.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738.79 : 4,471.70 = 4,471.70 : x
  2. Step 2: Convert to fraction form
    2,738.79/4,471.70 = 4,471.70/x
  3. Step 3: Cross multiply
    2,738.79x = 4,471.70 × 4,471.70
  4. Step 4: Simplify right side
    2,738.79x = 19,996,093.90
  5. Step 5: Solve for x
    x = 19,996,093.90/2,738.79
  6. Step 6: Final answer
    x = 7,301.07

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.