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Finding the Third Proportional to 428,674.88 and 631,169.25

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Solution

The third proportional to 428,674.88 and 631,169.25 is: 929,316.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,674.88 : 631,169.25 = 631,169.25 : x
  2. Step 2: Convert to fraction form
    428,674.88/631,169.25 = 631,169.25/x
  3. Step 3: Cross multiply
    428,674.88x = 631,169.25 × 631,169.25
  4. Step 4: Simplify right side
    428,674.88x = 398,374,622,145.56
  5. Step 5: Solve for x
    x = 398,374,622,145.56/428,674.88
  6. Step 6: Final answer
    x = 929,316.47

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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.