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Finding the Third Proportional to 180,400 and 389,402

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Solution

The third proportional to 180,400 and 389,402 is: 840,542.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,400 : 389,402 = 389,402 : x
  2. Step 2: Convert to fraction form
    180,400/389,402 = 389,402/x
  3. Step 3: Cross multiply
    180,400x = 389,402 × 389,402
  4. Step 4: Simplify right side
    180,400x = 151,633,917,604
  5. Step 5: Solve for x
    x = 151,633,917,604/180,400
  6. Step 6: Final answer
    x = 840,542.78

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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.