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Finding the Third Proportional to 280,702.50 and 603,435.75

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Solution

The third proportional to 280,702.50 and 603,435.75 is: 1,297,226.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,702.50 : 603,435.75 = 603,435.75 : x
  2. Step 2: Convert to fraction form
    280,702.50/603,435.75 = 603,435.75/x
  3. Step 3: Cross multiply
    280,702.50x = 603,435.75 × 603,435.75
  4. Step 4: Simplify right side
    280,702.50x = 364,134,704,378.06
  5. Step 5: Solve for x
    x = 364,134,704,378.06/280,702.50
  6. Step 6: Final answer
    x = 1,297,226.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.