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Finding the Third Proportional to 280,779.75 and 603,642.38

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Solution

The third proportional to 280,779.75 and 603,642.38 is: 1,297,757.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,779.75 : 603,642.38 = 603,642.38 : x
  2. Step 2: Convert to fraction form
    280,779.75/603,642.38 = 603,642.38/x
  3. Step 3: Cross multiply
    280,779.75x = 603,642.38 × 603,642.38
  4. Step 4: Simplify right side
    280,779.75x = 364,384,116,895.64
  5. Step 5: Solve for x
    x = 364,384,116,895.64/280,779.75
  6. Step 6: Final answer
    x = 1,297,757.82

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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.