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Finding the Third Proportional to 219,323 and 478,308

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Solution

The third proportional to 219,323 and 478,308 is: 1,043,112.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,323 : 478,308 = 478,308 : x
  2. Step 2: Convert to fraction form
    219,323/478,308 = 478,308/x
  3. Step 3: Cross multiply
    219,323x = 478,308 × 478,308
  4. Step 4: Simplify right side
    219,323x = 228,778,542,864
  5. Step 5: Solve for x
    x = 228,778,542,864/219,323
  6. Step 6: Final answer
    x = 1,043,112.41

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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.