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Finding the Third Proportional to 211,000 and 455,291

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Solution

The third proportional to 211,000 and 455,291 is: 982,416.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,000 : 455,291 = 455,291 : x
  2. Step 2: Convert to fraction form
    211,000/455,291 = 455,291/x
  3. Step 3: Cross multiply
    211,000x = 455,291 × 455,291
  4. Step 4: Simplify right side
    211,000x = 207,289,894,681
  5. Step 5: Solve for x
    x = 207,289,894,681/211,000
  6. Step 6: Final answer
    x = 982,416.56

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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.