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Finding the Third Proportional to 126,130.50 and 189,725.50

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Solution

The third proportional to 126,130.50 and 189,725.50 is: 285,385.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,130.50 : 189,725.50 = 189,725.50 : x
  2. Step 2: Convert to fraction form
    126,130.50/189,725.50 = 189,725.50/x
  3. Step 3: Cross multiply
    126,130.50x = 189,725.50 × 189,725.50
  4. Step 4: Simplify right side
    126,130.50x = 35,995,765,350.25
  5. Step 5: Solve for x
    x = 35,995,765,350.25/126,130.50
  6. Step 6: Final answer
    x = 285,385.10

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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.