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Finding the Third Proportional to 80,140.50 and 173,129.50

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Solution

The third proportional to 80,140.50 and 173,129.50 is: 374,015.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,140.50 : 173,129.50 = 173,129.50 : x
  2. Step 2: Convert to fraction form
    80,140.50/173,129.50 = 173,129.50/x
  3. Step 3: Cross multiply
    80,140.50x = 173,129.50 × 173,129.50
  4. Step 4: Simplify right side
    80,140.50x = 29,973,823,770.25
  5. Step 5: Solve for x
    x = 29,973,823,770.25/80,140.50
  6. Step 6: Final answer
    x = 374,015.93

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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.