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Finding the Third Proportional to 219,296 and 478,255

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Solution

The third proportional to 219,296 and 478,255 is: 1,043,009.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,296 : 478,255 = 478,255 : x
  2. Step 2: Convert to fraction form
    219,296/478,255 = 478,255/x
  3. Step 3: Cross multiply
    219,296x = 478,255 × 478,255
  4. Step 4: Simplify right side
    219,296x = 228,727,845,025
  5. Step 5: Solve for x
    x = 228,727,845,025/219,296
  6. Step 6: Final answer
    x = 1,043,009.65

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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.