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Finding the Third Proportional to 422,106 and 603,570

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Solution

The third proportional to 422,106 and 603,570 is: 863,045.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,106 : 603,570 = 603,570 : x
  2. Step 2: Convert to fraction form
    422,106/603,570 = 603,570/x
  3. Step 3: Cross multiply
    422,106x = 603,570 × 603,570
  4. Step 4: Simplify right side
    422,106x = 364,296,744,900
  5. Step 5: Solve for x
    x = 364,296,744,900/422,106
  6. Step 6: Final answer
    x = 863,045.64

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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.