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Finding the Third Proportional to 422,438.95 and 654,530.77

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Solution

The third proportional to 422,438.95 and 654,530.77 is: 1,014,135.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,438.95 : 654,530.77 = 654,530.77 : x
  2. Step 2: Convert to fraction form
    422,438.95/654,530.77 = 654,530.77/x
  3. Step 3: Cross multiply
    422,438.95x = 654,530.77 × 654,530.77
  4. Step 4: Simplify right side
    422,438.95x = 428,410,523,149.65
  5. Step 5: Solve for x
    x = 428,410,523,149.65/422,438.95
  6. Step 6: Final answer
    x = 1,014,135.94

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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.