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Finding the Third Proportional to 305,972 and 440,686

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Solution

The third proportional to 305,972 and 440,686 is: 634,712.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,972 : 440,686 = 440,686 : x
  2. Step 2: Convert to fraction form
    305,972/440,686 = 440,686/x
  3. Step 3: Cross multiply
    305,972x = 440,686 × 440,686
  4. Step 4: Simplify right side
    305,972x = 194,204,150,596
  5. Step 5: Solve for x
    x = 194,204,150,596/305,972
  6. Step 6: Final answer
    x = 634,712.17

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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.