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Finding the Third Proportional to 277,180 and 418,278

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Solution

The third proportional to 277,180 and 418,278 is: 631,201.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,180 : 418,278 = 418,278 : x
  2. Step 2: Convert to fraction form
    277,180/418,278 = 418,278/x
  3. Step 3: Cross multiply
    277,180x = 418,278 × 418,278
  4. Step 4: Simplify right side
    277,180x = 174,956,485,284
  5. Step 5: Solve for x
    x = 174,956,485,284/277,180
  6. Step 6: Final answer
    x = 631,201.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.