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Finding the Third Proportional to 288,007 and 628,420

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Solution

The third proportional to 288,007 and 628,420 is: 1,371,187.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,007 : 628,420 = 628,420 : x
  2. Step 2: Convert to fraction form
    288,007/628,420 = 628,420/x
  3. Step 3: Cross multiply
    288,007x = 628,420 × 628,420
  4. Step 4: Simplify right side
    288,007x = 394,911,696,400
  5. Step 5: Solve for x
    x = 394,911,696,400/288,007
  6. Step 6: Final answer
    x = 1,371,187.84

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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.