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Finding the Third Proportional to 422.25 and 782.63

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Solution

The third proportional to 422.25 and 782.63 is: 1,450.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.25 : 782.63 = 782.63 : x
  2. Step 2: Convert to fraction form
    422.25/782.63 = 782.63/x
  3. Step 3: Cross multiply
    422.25x = 782.63 × 782.63
  4. Step 4: Simplify right side
    422.25x = 612,501.89
  5. Step 5: Solve for x
    x = 612,501.89/422.25
  6. Step 6: Final answer
    x = 1,450.57

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.