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Finding the Third Proportional to 228,663 and 328,839.75

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Solution

The third proportional to 228,663 and 328,839.75 is: 472,903.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,663 : 328,839.75 = 328,839.75 : x
  2. Step 2: Convert to fraction form
    228,663/328,839.75 = 328,839.75/x
  3. Step 3: Cross multiply
    228,663x = 328,839.75 × 328,839.75
  4. Step 4: Simplify right side
    228,663x = 108,135,581,180.06
  5. Step 5: Solve for x
    x = 108,135,581,180.06/228,663
  6. Step 6: Final answer
    x = 472,903.71

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.