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Finding the Third Proportional to 209,257 and 447,242

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Solution

The third proportional to 209,257 and 447,242 is: 955,883.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,257 : 447,242 = 447,242 : x
  2. Step 2: Convert to fraction form
    209,257/447,242 = 447,242/x
  3. Step 3: Cross multiply
    209,257x = 447,242 × 447,242
  4. Step 4: Simplify right side
    209,257x = 200,025,406,564
  5. Step 5: Solve for x
    x = 200,025,406,564/209,257
  6. Step 6: Final answer
    x = 955,883.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.