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Finding the Third Proportional to 126,988 and 189,859

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Solution

The third proportional to 126,988 and 189,859 is: 283,857.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,988 : 189,859 = 189,859 : x
  2. Step 2: Convert to fraction form
    126,988/189,859 = 189,859/x
  3. Step 3: Cross multiply
    126,988x = 189,859 × 189,859
  4. Step 4: Simplify right side
    126,988x = 36,046,439,881
  5. Step 5: Solve for x
    x = 36,046,439,881/126,988
  6. Step 6: Final answer
    x = 283,857.06

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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.