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Finding the Third Proportional to 100,768.50 and 150,625.75

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Solution

The third proportional to 100,768.50 and 150,625.75 is: 225,150.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,768.50 : 150,625.75 = 150,625.75 : x
  2. Step 2: Convert to fraction form
    100,768.50/150,625.75 = 150,625.75/x
  3. Step 3: Cross multiply
    100,768.50x = 150,625.75 × 150,625.75
  4. Step 4: Simplify right side
    100,768.50x = 22,688,116,563.06
  5. Step 5: Solve for x
    x = 22,688,116,563.06/100,768.50
  6. Step 6: Final answer
    x = 225,150.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.