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Finding the Third Proportional to 219,191 and 478,963

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Solution

The third proportional to 219,191 and 478,963 is: 1,046,601.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,191 : 478,963 = 478,963 : x
  2. Step 2: Convert to fraction form
    219,191/478,963 = 478,963/x
  3. Step 3: Cross multiply
    219,191x = 478,963 × 478,963
  4. Step 4: Simplify right side
    219,191x = 229,405,555,369
  5. Step 5: Solve for x
    x = 229,405,555,369/219,191
  6. Step 6: Final answer
    x = 1,046,601.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.