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Finding the Third Proportional to 394,699.50 and 816,477.75

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Solution

The third proportional to 394,699.50 and 816,477.75 is: 1,688,970.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,699.50 : 816,477.75 = 816,477.75 : x
  2. Step 2: Convert to fraction form
    394,699.50/816,477.75 = 816,477.75/x
  3. Step 3: Cross multiply
    394,699.50x = 816,477.75 × 816,477.75
  4. Step 4: Simplify right side
    394,699.50x = 666,635,916,245.06
  5. Step 5: Solve for x
    x = 666,635,916,245.06/394,699.50
  6. Step 6: Final answer
    x = 1,688,970.76

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.