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Finding the Third Proportional to 219,344 and 455,912

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Solution

The third proportional to 219,344 and 455,912 is: 947,624.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,344 : 455,912 = 455,912 : x
  2. Step 2: Convert to fraction form
    219,344/455,912 = 455,912/x
  3. Step 3: Cross multiply
    219,344x = 455,912 × 455,912
  4. Step 4: Simplify right side
    219,344x = 207,855,751,744
  5. Step 5: Solve for x
    x = 207,855,751,744/219,344
  6. Step 6: Final answer
    x = 947,624.52

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.