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Finding the Third Proportional to 95,893.50 and 143,840.50

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Solution

The third proportional to 95,893.50 and 143,840.50 is: 215,761.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,893.50 : 143,840.50 = 143,840.50 : x
  2. Step 2: Convert to fraction form
    95,893.50/143,840.50 = 143,840.50/x
  3. Step 3: Cross multiply
    95,893.50x = 143,840.50 × 143,840.50
  4. Step 4: Simplify right side
    95,893.50x = 20,690,089,440.25
  5. Step 5: Solve for x
    x = 20,690,089,440.25/95,893.50
  6. Step 6: Final answer
    x = 215,761.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.