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Finding the Third Proportional to 91,738 and 129,187

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Solution

The third proportional to 91,738 and 129,187 is: 181,923.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,738 : 129,187 = 129,187 : x
  2. Step 2: Convert to fraction form
    91,738/129,187 = 129,187/x
  3. Step 3: Cross multiply
    91,738x = 129,187 × 129,187
  4. Step 4: Simplify right side
    91,738x = 16,689,280,969
  5. Step 5: Solve for x
    x = 16,689,280,969/91,738
  6. Step 6: Final answer
    x = 181,923.31

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.