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Finding the Third Proportional to 428,867 and 628,972

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Solution

The third proportional to 428,867 and 628,972 is: 922,443.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,867 : 628,972 = 628,972 : x
  2. Step 2: Convert to fraction form
    428,867/628,972 = 628,972/x
  3. Step 3: Cross multiply
    428,867x = 628,972 × 628,972
  4. Step 4: Simplify right side
    428,867x = 395,605,776,784
  5. Step 5: Solve for x
    x = 395,605,776,784/428,867
  6. Step 6: Final answer
    x = 922,443.97

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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.