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Finding the Third Proportional to 428,095 and 629,728

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Solution

The third proportional to 428,095 and 629,728 is: 926,330.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,095 : 629,728 = 629,728 : x
  2. Step 2: Convert to fraction form
    428,095/629,728 = 629,728/x
  3. Step 3: Cross multiply
    428,095x = 629,728 × 629,728
  4. Step 4: Simplify right side
    428,095x = 396,557,353,984
  5. Step 5: Solve for x
    x = 396,557,353,984/428,095
  6. Step 6: Final answer
    x = 926,330.26

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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.