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Finding the Third Proportional to 154,947.94 and 318,218.63

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Solution

The third proportional to 154,947.94 and 318,218.63 is: 653,529.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,947.94 : 318,218.63 = 318,218.63 : x
  2. Step 2: Convert to fraction form
    154,947.94/318,218.63 = 318,218.63/x
  3. Step 3: Cross multiply
    154,947.94x = 318,218.63 × 318,218.63
  4. Step 4: Simplify right side
    154,947.94x = 101,263,093,296.89
  5. Step 5: Solve for x
    x = 101,263,093,296.89/154,947.94
  6. Step 6: Final answer
    x = 653,529.79

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.