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Finding the Third Proportional to 215,686 and 453,676

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Solution

The third proportional to 215,686 and 453,676 is: 954,266.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,686 : 453,676 = 453,676 : x
  2. Step 2: Convert to fraction form
    215,686/453,676 = 453,676/x
  3. Step 3: Cross multiply
    215,686x = 453,676 × 453,676
  4. Step 4: Simplify right side
    215,686x = 205,821,912,976
  5. Step 5: Solve for x
    x = 205,821,912,976/215,686
  6. Step 6: Final answer
    x = 954,266.45

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.