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Finding the Third Proportional to 219,348 and 478,845

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Solution

The third proportional to 219,348 and 478,845 is: 1,045,336.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,348 : 478,845 = 478,845 : x
  2. Step 2: Convert to fraction form
    219,348/478,845 = 478,845/x
  3. Step 3: Cross multiply
    219,348x = 478,845 × 478,845
  4. Step 4: Simplify right side
    219,348x = 229,292,534,025
  5. Step 5: Solve for x
    x = 229,292,534,025/219,348
  6. Step 6: Final answer
    x = 1,045,336.79

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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.