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Finding the Third Proportional to 76,120.50 and 160,447

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Solution

The third proportional to 76,120.50 and 160,447 is: 338,190.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,120.50 : 160,447 = 160,447 : x
  2. Step 2: Convert to fraction form
    76,120.50/160,447 = 160,447/x
  3. Step 3: Cross multiply
    76,120.50x = 160,447 × 160,447
  4. Step 4: Simplify right side
    76,120.50x = 25,743,239,809
  5. Step 5: Solve for x
    x = 25,743,239,809/76,120.50
  6. Step 6: Final answer
    x = 338,190.63

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.