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Finding the Third Proportional to 428,680 and 631,176

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Solution

The third proportional to 428,680 and 631,176 is: 929,325.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,680 : 631,176 = 631,176 : x
  2. Step 2: Convert to fraction form
    428,680/631,176 = 631,176/x
  3. Step 3: Cross multiply
    428,680x = 631,176 × 631,176
  4. Step 4: Simplify right side
    428,680x = 398,383,142,976
  5. Step 5: Solve for x
    x = 398,383,142,976/428,680
  6. Step 6: Final answer
    x = 929,325.24

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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.