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Finding the Third Proportional to 308,968.88 and 440,981.44

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Solution

The third proportional to 308,968.88 and 440,981.44 is: 629,398.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,968.88 : 440,981.44 = 440,981.44 : x
  2. Step 2: Convert to fraction form
    308,968.88/440,981.44 = 440,981.44/x
  3. Step 3: Cross multiply
    308,968.88x = 440,981.44 × 440,981.44
  4. Step 4: Simplify right side
    308,968.88x = 194,464,628,219.57
  5. Step 5: Solve for x
    x = 194,464,628,219.57/308,968.88
  6. Step 6: Final answer
    x = 629,398.76

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.