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Finding the Third Proportional to 95,120 and 142,383

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Solution

The third proportional to 95,120 and 142,383 is: 213,129.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,120 : 142,383 = 142,383 : x
  2. Step 2: Convert to fraction form
    95,120/142,383 = 142,383/x
  3. Step 3: Cross multiply
    95,120x = 142,383 × 142,383
  4. Step 4: Simplify right side
    95,120x = 20,272,918,689
  5. Step 5: Solve for x
    x = 20,272,918,689/95,120
  6. Step 6: Final answer
    x = 213,129.93

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