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Finding the Third Proportional to 288,004.50 and 628,416

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Solution

The third proportional to 288,004.50 and 628,416 is: 1,371,182.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,004.50 : 628,416 = 628,416 : x
  2. Step 2: Convert to fraction form
    288,004.50/628,416 = 628,416/x
  3. Step 3: Cross multiply
    288,004.50x = 628,416 × 628,416
  4. Step 4: Simplify right side
    288,004.50x = 394,906,669,056
  5. Step 5: Solve for x
    x = 394,906,669,056/288,004.50
  6. Step 6: Final answer
    x = 1,371,182.29

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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.