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Finding the Third Proportional to 100,750.50 and 136,343.25

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Solution

The third proportional to 100,750.50 and 136,343.25 is: 184,510.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,750.50 : 136,343.25 = 136,343.25 : x
  2. Step 2: Convert to fraction form
    100,750.50/136,343.25 = 136,343.25/x
  3. Step 3: Cross multiply
    100,750.50x = 136,343.25 × 136,343.25
  4. Step 4: Simplify right side
    100,750.50x = 18,589,481,820.56
  5. Step 5: Solve for x
    x = 18,589,481,820.56/100,750.50
  6. Step 6: Final answer
    x = 184,510.07

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.