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Finding the Third Proportional to 422,103.50 and 603,567.50

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Solution

The third proportional to 422,103.50 and 603,567.50 is: 863,043.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,103.50 : 603,567.50 = 603,567.50 : x
  2. Step 2: Convert to fraction form
    422,103.50/603,567.50 = 603,567.50/x
  3. Step 3: Cross multiply
    422,103.50x = 603,567.50 × 603,567.50
  4. Step 4: Simplify right side
    422,103.50x = 364,293,727,056.25
  5. Step 5: Solve for x
    x = 364,293,727,056.25/422,103.50
  6. Step 6: Final answer
    x = 863,043.61

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.