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Finding the Third Proportional to 84,171 and 129,367.50

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Solution

The third proportional to 84,171 and 129,367.50 is: 198,832.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,171 : 129,367.50 = 129,367.50 : x
  2. Step 2: Convert to fraction form
    84,171/129,367.50 = 129,367.50/x
  3. Step 3: Cross multiply
    84,171x = 129,367.50 × 129,367.50
  4. Step 4: Simplify right side
    84,171x = 16,735,950,056.25
  5. Step 5: Solve for x
    x = 16,735,950,056.25/84,171
  6. Step 6: Final answer
    x = 198,832.73

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.