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Finding the Third Proportional to 422,779.50 and 654,351.75

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Solution

The third proportional to 422,779.50 and 654,351.75 is: 1,012,764.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,779.50 : 654,351.75 = 654,351.75 : x
  2. Step 2: Convert to fraction form
    422,779.50/654,351.75 = 654,351.75/x
  3. Step 3: Cross multiply
    422,779.50x = 654,351.75 × 654,351.75
  4. Step 4: Simplify right side
    422,779.50x = 428,176,212,728.06
  5. Step 5: Solve for x
    x = 428,176,212,728.06/422,779.50
  6. Step 6: Final answer
    x = 1,012,764.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.