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Finding the Third Proportional to 211,454 and 455,917

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Solution

The third proportional to 211,454 and 455,917 is: 983,004.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,454 : 455,917 = 455,917 : x
  2. Step 2: Convert to fraction form
    211,454/455,917 = 455,917/x
  3. Step 3: Cross multiply
    211,454x = 455,917 × 455,917
  4. Step 4: Simplify right side
    211,454x = 207,860,310,889
  5. Step 5: Solve for x
    x = 207,860,310,889/211,454
  6. Step 6: Final answer
    x = 983,004.87

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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.