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Finding the Third Proportional to 393,722.25 and 843,209.25

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Solution

The third proportional to 393,722.25 and 843,209.25 is: 1,805,846.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,722.25 : 843,209.25 = 843,209.25 : x
  2. Step 2: Convert to fraction form
    393,722.25/843,209.25 = 843,209.25/x
  3. Step 3: Cross multiply
    393,722.25x = 843,209.25 × 843,209.25
  4. Step 4: Simplify right side
    393,722.25x = 711,001,839,285.56
  5. Step 5: Solve for x
    x = 711,001,839,285.56/393,722.25
  6. Step 6: Final answer
    x = 1,805,846.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.