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Finding the Third Proportional to 219,223 and 478,119

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Solution

The third proportional to 219,223 and 478,119 is: 1,042,763.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,223 : 478,119 = 478,119 : x
  2. Step 2: Convert to fraction form
    219,223/478,119 = 478,119/x
  3. Step 3: Cross multiply
    219,223x = 478,119 × 478,119
  4. Step 4: Simplify right side
    219,223x = 228,597,778,161
  5. Step 5: Solve for x
    x = 228,597,778,161/219,223
  6. Step 6: Final answer
    x = 1,042,763.66

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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.