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Finding the Third Proportional to 215,874 and 440,308

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Solution

The third proportional to 215,874 and 440,308 is: 898,075.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,874 : 440,308 = 440,308 : x
  2. Step 2: Convert to fraction form
    215,874/440,308 = 440,308/x
  3. Step 3: Cross multiply
    215,874x = 440,308 × 440,308
  4. Step 4: Simplify right side
    215,874x = 193,871,134,864
  5. Step 5: Solve for x
    x = 193,871,134,864/215,874
  6. Step 6: Final answer
    x = 898,075.43

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.