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Finding the Third Proportional to 228,859 and 478,631

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Solution

The third proportional to 228,859 and 478,631 is: 1,000,999.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,859 : 478,631 = 478,631 : x
  2. Step 2: Convert to fraction form
    228,859/478,631 = 478,631/x
  3. Step 3: Cross multiply
    228,859x = 478,631 × 478,631
  4. Step 4: Simplify right side
    228,859x = 229,087,634,161
  5. Step 5: Solve for x
    x = 229,087,634,161/228,859
  6. Step 6: Final answer
    x = 1,000,999.02

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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.