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Finding the Third Proportional to 307,813.50 and 491,727

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Solution

The third proportional to 307,813.50 and 491,727 is: 785,525.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,813.50 : 491,727 = 491,727 : x
  2. Step 2: Convert to fraction form
    307,813.50/491,727 = 491,727/x
  3. Step 3: Cross multiply
    307,813.50x = 491,727 × 491,727
  4. Step 4: Simplify right side
    307,813.50x = 241,795,442,529
  5. Step 5: Solve for x
    x = 241,795,442,529/307,813.50
  6. Step 6: Final answer
    x = 785,525.79

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.