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Finding the Third Proportional to 228,857 and 478,627

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Solution

The third proportional to 228,857 and 478,627 is: 1,000,991.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,857 : 478,627 = 478,627 : x
  2. Step 2: Convert to fraction form
    228,857/478,627 = 478,627/x
  3. Step 3: Cross multiply
    228,857x = 478,627 × 478,627
  4. Step 4: Simplify right side
    228,857x = 229,083,805,129
  5. Step 5: Solve for x
    x = 229,083,805,129/228,857
  6. Step 6: Final answer
    x = 1,000,991.03

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.