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Finding the Third Proportional to 84,016.50 and 133,100.25

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Solution

The third proportional to 84,016.50 and 133,100.25 is: 210,859.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,016.50 : 133,100.25 = 133,100.25 : x
  2. Step 2: Convert to fraction form
    84,016.50/133,100.25 = 133,100.25/x
  3. Step 3: Cross multiply
    84,016.50x = 133,100.25 × 133,100.25
  4. Step 4: Simplify right side
    84,016.50x = 17,715,676,550.06
  5. Step 5: Solve for x
    x = 17,715,676,550.06/84,016.50
  6. Step 6: Final answer
    x = 210,859.49

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.