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Finding the Third Proportional to 180,881.25 and 393,906

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Solution

The third proportional to 180,881.25 and 393,906 is: 857,811.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,881.25 : 393,906 = 393,906 : x
  2. Step 2: Convert to fraction form
    180,881.25/393,906 = 393,906/x
  3. Step 3: Cross multiply
    180,881.25x = 393,906 × 393,906
  4. Step 4: Simplify right side
    180,881.25x = 155,161,936,836
  5. Step 5: Solve for x
    x = 155,161,936,836/180,881.25
  6. Step 6: Final answer
    x = 857,811.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.