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Finding the Third Proportional to 288,120 and 628,728

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Solution

The third proportional to 288,120 and 628,728 is: 1,371,993.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,120 : 628,728 = 628,728 : x
  2. Step 2: Convert to fraction form
    288,120/628,728 = 628,728/x
  3. Step 3: Cross multiply
    288,120x = 628,728 × 628,728
  4. Step 4: Simplify right side
    288,120x = 395,298,897,984
  5. Step 5: Solve for x
    x = 395,298,897,984/288,120
  6. Step 6: Final answer
    x = 1,371,993.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.