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Finding the Third Proportional to 409,806.21 and 654,690.41

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Solution

The third proportional to 409,806.21 and 654,690.41 is: 1,045,907.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,806.21 : 654,690.41 = 654,690.41 : x
  2. Step 2: Convert to fraction form
    409,806.21/654,690.41 = 654,690.41/x
  3. Step 3: Cross multiply
    409,806.21x = 654,690.41 × 654,690.41
  4. Step 4: Simplify right side
    409,806.21x = 428,619,533,150.55
  5. Step 5: Solve for x
    x = 428,619,533,150.55/409,806.21
  6. Step 6: Final answer
    x = 1,045,907.85

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.