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Finding the Third Proportional to 71,397 and 103,749.75

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Solution

The third proportional to 71,397 and 103,749.75 is: 150,762.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,397 : 103,749.75 = 103,749.75 : x
  2. Step 2: Convert to fraction form
    71,397/103,749.75 = 103,749.75/x
  3. Step 3: Cross multiply
    71,397x = 103,749.75 × 103,749.75
  4. Step 4: Simplify right side
    71,397x = 10,764,010,625.06
  5. Step 5: Solve for x
    x = 10,764,010,625.06/71,397
  6. Step 6: Final answer
    x = 150,762.79

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.