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Finding the Third Proportional to 84,156.50 and 126,450.75

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Solution

The third proportional to 84,156.50 and 126,450.75 is: 190,000.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,156.50 : 126,450.75 = 126,450.75 : x
  2. Step 2: Convert to fraction form
    84,156.50/126,450.75 = 126,450.75/x
  3. Step 3: Cross multiply
    84,156.50x = 126,450.75 × 126,450.75
  4. Step 4: Simplify right side
    84,156.50x = 15,989,792,175.56
  5. Step 5: Solve for x
    x = 15,989,792,175.56/84,156.50
  6. Step 6: Final answer
    x = 190,000.68

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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.