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Finding the Third Proportional to 180,678.94 and 389,107.13

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Solution

The third proportional to 180,678.94 and 389,107.13 is: 837,974.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,678.94 : 389,107.13 = 389,107.13 : x
  2. Step 2: Convert to fraction form
    180,678.94/389,107.13 = 389,107.13/x
  3. Step 3: Cross multiply
    180,678.94x = 389,107.13 × 389,107.13
  4. Step 4: Simplify right side
    180,678.94x = 151,404,354,725.77
  5. Step 5: Solve for x
    x = 151,404,354,725.77/180,678.94
  6. Step 6: Final answer
    x = 837,974.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.