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Finding the Third Proportional to 285,278 and 444,274

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Solution

The third proportional to 285,278 and 444,274 is: 691,884.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,278 : 444,274 = 444,274 : x
  2. Step 2: Convert to fraction form
    285,278/444,274 = 444,274/x
  3. Step 3: Cross multiply
    285,278x = 444,274 × 444,274
  4. Step 4: Simplify right side
    285,278x = 197,379,387,076
  5. Step 5: Solve for x
    x = 197,379,387,076/285,278
  6. Step 6: Final answer
    x = 691,884.36

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.