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Finding the Third Proportional to 300,991.50 and 409,965.75

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Solution

The third proportional to 300,991.50 and 409,965.75 is: 558,394.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,991.50 : 409,965.75 = 409,965.75 : x
  2. Step 2: Convert to fraction form
    300,991.50/409,965.75 = 409,965.75/x
  3. Step 3: Cross multiply
    300,991.50x = 409,965.75 × 409,965.75
  4. Step 4: Simplify right side
    300,991.50x = 168,071,916,173.06
  5. Step 5: Solve for x
    x = 168,071,916,173.06/300,991.50
  6. Step 6: Final answer
    x = 558,394.23

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.