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Finding the Third Proportional to 180,841.78 and 393,828.75

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Solution

The third proportional to 180,841.78 and 393,828.75 is: 857,661.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,841.78 : 393,828.75 = 393,828.75 : x
  2. Step 2: Convert to fraction form
    180,841.78/393,828.75 = 393,828.75/x
  3. Step 3: Cross multiply
    180,841.78x = 393,828.75 × 393,828.75
  4. Step 4: Simplify right side
    180,841.78x = 155,101,084,326.56
  5. Step 5: Solve for x
    x = 155,101,084,326.56/180,841.78
  6. Step 6: Final answer
    x = 857,661.78

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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.