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Finding the Third Proportional to 280,734.19 and 608,760.56

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Solution

The third proportional to 280,734.19 and 608,760.56 is: 1,320,072.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,734.19 : 608,760.56 = 608,760.56 : x
  2. Step 2: Convert to fraction form
    280,734.19/608,760.56 = 608,760.56/x
  3. Step 3: Cross multiply
    280,734.19x = 608,760.56 × 608,760.56
  4. Step 4: Simplify right side
    280,734.19x = 370,589,422,455.32
  5. Step 5: Solve for x
    x = 370,589,422,455.32/280,734.19
  6. Step 6: Final answer
    x = 1,320,072.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.