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Finding the Third Proportional to 308,962.69 and 440,974.13

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Solution

The third proportional to 308,962.69 and 440,974.13 is: 629,390.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,962.69 : 440,974.13 = 440,974.13 : x
  2. Step 2: Convert to fraction form
    308,962.69/440,974.13 = 440,974.13/x
  3. Step 3: Cross multiply
    308,962.69x = 440,974.13 × 440,974.13
  4. Step 4: Simplify right side
    308,962.69x = 194,458,178,919.52
  5. Step 5: Solve for x
    x = 194,458,178,919.52/308,962.69
  6. Step 6: Final answer
    x = 629,390.50

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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.