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Finding the Third Proportional to 129,300.75 and 189,029.25

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Solution

The third proportional to 129,300.75 and 189,029.25 is: 276,348.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,300.75 : 189,029.25 = 189,029.25 : x
  2. Step 2: Convert to fraction form
    129,300.75/189,029.25 = 189,029.25/x
  3. Step 3: Cross multiply
    129,300.75x = 189,029.25 × 189,029.25
  4. Step 4: Simplify right side
    129,300.75x = 35,732,057,355.56
  5. Step 5: Solve for x
    x = 35,732,057,355.56/129,300.75
  6. Step 6: Final answer
    x = 276,348.42

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.