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Finding the Third Proportional to 219,132 and 455,112

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Solution

The third proportional to 219,132 and 455,112 is: 945,215.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,132 : 455,112 = 455,112 : x
  2. Step 2: Convert to fraction form
    219,132/455,112 = 455,112/x
  3. Step 3: Cross multiply
    219,132x = 455,112 × 455,112
  4. Step 4: Simplify right side
    219,132x = 207,126,932,544
  5. Step 5: Solve for x
    x = 207,126,932,544/219,132
  6. Step 6: Final answer
    x = 945,215.36

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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.