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Finding the Third Proportional to 126,984 and 189,855

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Solution

The third proportional to 126,984 and 189,855 is: 283,854.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,984 : 189,855 = 189,855 : x
  2. Step 2: Convert to fraction form
    126,984/189,855 = 189,855/x
  3. Step 3: Cross multiply
    126,984x = 189,855 × 189,855
  4. Step 4: Simplify right side
    126,984x = 36,044,921,025
  5. Step 5: Solve for x
    x = 36,044,921,025/126,984
  6. Step 6: Final answer
    x = 283,854.04

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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.