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Finding the Third Proportional to 180,404 and 389,408

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Solution

The third proportional to 180,404 and 389,408 is: 840,550.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,404 : 389,408 = 389,408 : x
  2. Step 2: Convert to fraction form
    180,404/389,408 = 389,408/x
  3. Step 3: Cross multiply
    180,404x = 389,408 × 389,408
  4. Step 4: Simplify right side
    180,404x = 151,638,590,464
  5. Step 5: Solve for x
    x = 151,638,590,464/180,404
  6. Step 6: Final answer
    x = 840,550.05

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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.