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Finding the Third Proportional to 308,420 and 483,930

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Solution

The third proportional to 308,420 and 483,930 is: 759,316.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,420 : 483,930 = 483,930 : x
  2. Step 2: Convert to fraction form
    308,420/483,930 = 483,930/x
  3. Step 3: Cross multiply
    308,420x = 483,930 × 483,930
  4. Step 4: Simplify right side
    308,420x = 234,188,244,900
  5. Step 5: Solve for x
    x = 234,188,244,900/308,420
  6. Step 6: Final answer
    x = 759,316.01

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.