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Finding the Third Proportional to 207,434 and 455,212

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Solution

The third proportional to 207,434 and 455,212 is: 998,958.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,434 : 455,212 = 455,212 : x
  2. Step 2: Convert to fraction form
    207,434/455,212 = 455,212/x
  3. Step 3: Cross multiply
    207,434x = 455,212 × 455,212
  4. Step 4: Simplify right side
    207,434x = 207,217,964,944
  5. Step 5: Solve for x
    x = 207,217,964,944/207,434
  6. Step 6: Final answer
    x = 998,958.54

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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.