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Finding the Third Proportional to 308,965.50 and 440,979

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Solution

The third proportional to 308,965.50 and 440,979 is: 629,398.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,965.50 : 440,979 = 440,979 : x
  2. Step 2: Convert to fraction form
    308,965.50/440,979 = 440,979/x
  3. Step 3: Cross multiply
    308,965.50x = 440,979 × 440,979
  4. Step 4: Simplify right side
    308,965.50x = 194,462,478,441
  5. Step 5: Solve for x
    x = 194,462,478,441/308,965.50
  6. Step 6: Final answer
    x = 629,398.68

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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.