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Finding the Third Proportional to 305,977 and 654,054

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Solution

The third proportional to 305,977 and 654,054 is: 1,398,100.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,977 : 654,054 = 654,054 : x
  2. Step 2: Convert to fraction form
    305,977/654,054 = 654,054/x
  3. Step 3: Cross multiply
    305,977x = 654,054 × 654,054
  4. Step 4: Simplify right side
    305,977x = 427,786,634,916
  5. Step 5: Solve for x
    x = 427,786,634,916/305,977
  6. Step 6: Final answer
    x = 1,398,100.62

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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.