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Finding the Third Proportional to 305,964 and 440,679

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Solution

The third proportional to 305,964 and 440,679 is: 634,708.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,964 : 440,679 = 440,679 : x
  2. Step 2: Convert to fraction form
    305,964/440,679 = 440,679/x
  3. Step 3: Cross multiply
    305,964x = 440,679 × 440,679
  4. Step 4: Simplify right side
    305,964x = 194,197,981,041
  5. Step 5: Solve for x
    x = 194,197,981,041/305,964
  6. Step 6: Final answer
    x = 634,708.60

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.