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Finding the Third Proportional to 180,398 and 389,398

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Solution

The third proportional to 180,398 and 389,398 is: 840,534.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,398 : 389,398 = 389,398 : x
  2. Step 2: Convert to fraction form
    180,398/389,398 = 389,398/x
  3. Step 3: Cross multiply
    180,398x = 389,398 × 389,398
  4. Step 4: Simplify right side
    180,398x = 151,630,802,404
  5. Step 5: Solve for x
    x = 151,630,802,404/180,398
  6. Step 6: Final answer
    x = 840,534.83

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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.