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Finding the Third Proportional to 273,042.75 and 427,386.75

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Solution

The third proportional to 273,042.75 and 427,386.75 is: 668,977.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,042.75 : 427,386.75 = 427,386.75 : x
  2. Step 2: Convert to fraction form
    273,042.75/427,386.75 = 427,386.75/x
  3. Step 3: Cross multiply
    273,042.75x = 427,386.75 × 427,386.75
  4. Step 4: Simplify right side
    273,042.75x = 182,659,434,075.56
  5. Step 5: Solve for x
    x = 182,659,434,075.56/273,042.75
  6. Step 6: Final answer
    x = 668,977.42

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.