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Finding the Third Proportional to 211,456 and 455,921

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Solution

The third proportional to 211,456 and 455,921 is: 983,012.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,456 : 455,921 = 455,921 : x
  2. Step 2: Convert to fraction form
    211,456/455,921 = 455,921/x
  3. Step 3: Cross multiply
    211,456x = 455,921 × 455,921
  4. Step 4: Simplify right side
    211,456x = 207,863,958,241
  5. Step 5: Solve for x
    x = 207,863,958,241/211,456
  6. Step 6: Final answer
    x = 983,012.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.