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Finding the Third Proportional to 212,257 and 446,393

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Solution

The third proportional to 212,257 and 446,393 is: 938,799.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,257 : 446,393 = 446,393 : x
  2. Step 2: Convert to fraction form
    212,257/446,393 = 446,393/x
  3. Step 3: Cross multiply
    212,257x = 446,393 × 446,393
  4. Step 4: Simplify right side
    212,257x = 199,266,710,449
  5. Step 5: Solve for x
    x = 199,266,710,449/212,257
  6. Step 6: Final answer
    x = 938,799.24

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.