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Finding the Third Proportional to 180,285.75 and 389,131.88

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Solution

The third proportional to 180,285.75 and 389,131.88 is: 839,908.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,285.75 : 389,131.88 = 389,131.88 : x
  2. Step 2: Convert to fraction form
    180,285.75/389,131.88 = 389,131.88/x
  3. Step 3: Cross multiply
    180,285.75x = 389,131.88 × 389,131.88
  4. Step 4: Simplify right side
    180,285.75x = 151,423,616,141.02
  5. Step 5: Solve for x
    x = 151,423,616,141.02/180,285.75
  6. Step 6: Final answer
    x = 839,908.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.