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Finding the Third Proportional to 300,985.88 and 401,451.19

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Solution

The third proportional to 300,985.88 and 401,451.19 is: 535,450.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,985.88 : 401,451.19 = 401,451.19 : x
  2. Step 2: Convert to fraction form
    300,985.88/401,451.19 = 401,451.19/x
  3. Step 3: Cross multiply
    300,985.88x = 401,451.19 × 401,451.19
  4. Step 4: Simplify right side
    300,985.88x = 161,163,055,945.16
  5. Step 5: Solve for x
    x = 161,163,055,945.16/300,985.88
  6. Step 6: Final answer
    x = 535,450.56

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.