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Finding the Third Proportional to 394,699 and 816,475

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Solution

The third proportional to 394,699 and 816,475 is: 1,688,961.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,699 : 816,475 = 816,475 : x
  2. Step 2: Convert to fraction form
    394,699/816,475 = 816,475/x
  3. Step 3: Cross multiply
    394,699x = 816,475 × 816,475
  4. Step 4: Simplify right side
    394,699x = 666,631,425,625
  5. Step 5: Solve for x
    x = 666,631,425,625/394,699
  6. Step 6: Final answer
    x = 1,688,961.53

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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.