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Finding the Third Proportional to 180,679 and 389,112.50

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Solution

The third proportional to 180,679 and 389,112.50 is: 837,997.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,679 : 389,112.50 = 389,112.50 : x
  2. Step 2: Convert to fraction form
    180,679/389,112.50 = 389,112.50/x
  3. Step 3: Cross multiply
    180,679x = 389,112.50 × 389,112.50
  4. Step 4: Simplify right side
    180,679x = 151,408,537,656.25
  5. Step 5: Solve for x
    x = 151,408,537,656.25/180,679
  6. Step 6: Final answer
    x = 837,997.43

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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.