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Finding the Third Proportional to 428,675.50 and 631,170

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Solution

The third proportional to 428,675.50 and 631,170 is: 929,317.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,675.50 : 631,170 = 631,170 : x
  2. Step 2: Convert to fraction form
    428,675.50/631,170 = 631,170/x
  3. Step 3: Cross multiply
    428,675.50x = 631,170 × 631,170
  4. Step 4: Simplify right side
    428,675.50x = 398,375,568,900
  5. Step 5: Solve for x
    x = 398,375,568,900/428,675.50
  6. Step 6: Final answer
    x = 929,317.32

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.