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Finding the Third Proportional to 209,272 and 447,272

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Solution

The third proportional to 209,272 and 447,272 is: 955,943.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,272 : 447,272 = 447,272 : x
  2. Step 2: Convert to fraction form
    209,272/447,272 = 447,272/x
  3. Step 3: Cross multiply
    209,272x = 447,272 × 447,272
  4. Step 4: Simplify right side
    209,272x = 200,052,241,984
  5. Step 5: Solve for x
    x = 200,052,241,984/209,272
  6. Step 6: Final answer
    x = 955,943.66

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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.