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Finding the Third Proportional to 423,758.25 and 628,306.88

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Solution

The third proportional to 423,758.25 and 628,306.88 is: 931,591.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,758.25 : 628,306.88 = 628,306.88 : x
  2. Step 2: Convert to fraction form
    423,758.25/628,306.88 = 628,306.88/x
  3. Step 3: Cross multiply
    423,758.25x = 628,306.88 × 628,306.88
  4. Step 4: Simplify right side
    423,758.25x = 394,769,529,172.27
  5. Step 5: Solve for x
    x = 394,769,529,172.27/423,758.25
  6. Step 6: Final answer
    x = 931,591.37

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.