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Finding the Third Proportional to 219,350 and 478,849

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Solution

The third proportional to 219,350 and 478,849 is: 1,045,344.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,350 : 478,849 = 478,849 : x
  2. Step 2: Convert to fraction form
    219,350/478,849 = 478,849/x
  3. Step 3: Cross multiply
    219,350x = 478,849 × 478,849
  4. Step 4: Simplify right side
    219,350x = 229,296,364,801
  5. Step 5: Solve for x
    x = 229,296,364,801/219,350
  6. Step 6: Final answer
    x = 1,045,344.72

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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.