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Finding the Third Proportional to 378,450 and 805,950

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Solution

The third proportional to 378,450 and 805,950 is: 1,716,357.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,450 : 805,950 = 805,950 : x
  2. Step 2: Convert to fraction form
    378,450/805,950 = 805,950/x
  3. Step 3: Cross multiply
    378,450x = 805,950 × 805,950
  4. Step 4: Simplify right side
    378,450x = 649,555,402,500
  5. Step 5: Solve for x
    x = 649,555,402,500/378,450
  6. Step 6: Final answer
    x = 1,716,357.25

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.