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Finding the Third Proportional to 428,097 and 629,731

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Solution

The third proportional to 428,097 and 629,731 is: 926,334.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,097 : 629,731 = 629,731 : x
  2. Step 2: Convert to fraction form
    428,097/629,731 = 629,731/x
  3. Step 3: Cross multiply
    428,097x = 629,731 × 629,731
  4. Step 4: Simplify right side
    428,097x = 396,561,132,361
  5. Step 5: Solve for x
    x = 396,561,132,361/428,097
  6. Step 6: Final answer
    x = 926,334.76

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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.