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Finding the Third Proportional to 211,297 and 458,422

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Solution

The third proportional to 211,297 and 458,422 is: 994,575.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,297 : 458,422 = 458,422 : x
  2. Step 2: Convert to fraction form
    211,297/458,422 = 458,422/x
  3. Step 3: Cross multiply
    211,297x = 458,422 × 458,422
  4. Step 4: Simplify right side
    211,297x = 210,150,730,084
  5. Step 5: Solve for x
    x = 210,150,730,084/211,297
  6. Step 6: Final answer
    x = 994,575.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.