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Finding the Third Proportional to 71,996.75 and 101,343

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Solution

The third proportional to 71,996.75 and 101,343 is: 142,650.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,996.75 : 101,343 = 101,343 : x
  2. Step 2: Convert to fraction form
    71,996.75/101,343 = 101,343/x
  3. Step 3: Cross multiply
    71,996.75x = 101,343 × 101,343
  4. Step 4: Simplify right side
    71,996.75x = 10,270,403,649
  5. Step 5: Solve for x
    x = 10,270,403,649/71,996.75
  6. Step 6: Final answer
    x = 142,650.93

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.