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Finding the Third Proportional to 211,110 and 457,456

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Solution

The third proportional to 211,110 and 457,456 is: 991,265.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,110 : 457,456 = 457,456 : x
  2. Step 2: Convert to fraction form
    211,110/457,456 = 457,456/x
  3. Step 3: Cross multiply
    211,110x = 457,456 × 457,456
  4. Step 4: Simplify right side
    211,110x = 209,265,991,936
  5. Step 5: Solve for x
    x = 209,265,991,936/211,110
  6. Step 6: Final answer
    x = 991,265.18

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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.