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Finding the Third Proportional to 215,984 and 440,600

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Solution

The third proportional to 215,984 and 440,600 is: 898,808.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,984 : 440,600 = 440,600 : x
  2. Step 2: Convert to fraction form
    215,984/440,600 = 440,600/x
  3. Step 3: Cross multiply
    215,984x = 440,600 × 440,600
  4. Step 4: Simplify right side
    215,984x = 194,128,360,000
  5. Step 5: Solve for x
    x = 194,128,360,000/215,984
  6. Step 6: Final answer
    x = 898,808.99

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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.