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Finding the Third Proportional to 603,709.88 and 816,991.31

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Solution

The third proportional to 603,709.88 and 816,991.31 is: 1,105,621.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,709.88 : 816,991.31 = 816,991.31 : x
  2. Step 2: Convert to fraction form
    603,709.88/816,991.31 = 816,991.31/x
  3. Step 3: Cross multiply
    603,709.88x = 816,991.31 × 816,991.31
  4. Step 4: Simplify right side
    603,709.88x = 667,474,804,700.47
  5. Step 5: Solve for x
    x = 667,474,804,700.47/603,709.88
  6. Step 6: Final answer
    x = 1,105,621.81

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.