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Finding the Third Proportional to 342,912.94 and 509,400.56

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Solution

The third proportional to 342,912.94 and 509,400.56 is: 756,719.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,912.94 : 509,400.56 = 509,400.56 : x
  2. Step 2: Convert to fraction form
    342,912.94/509,400.56 = 509,400.56/x
  3. Step 3: Cross multiply
    342,912.94x = 509,400.56 × 509,400.56
  4. Step 4: Simplify right side
    342,912.94x = 259,488,933,075.32
  5. Step 5: Solve for x
    x = 259,488,933,075.32/342,912.94
  6. Step 6: Final answer
    x = 756,719.58

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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.