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Finding the Third Proportional to 83,938.50 and 132,912

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Solution

The third proportional to 83,938.50 and 132,912 is: 210,458.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,938.50 : 132,912 = 132,912 : x
  2. Step 2: Convert to fraction form
    83,938.50/132,912 = 132,912/x
  3. Step 3: Cross multiply
    83,938.50x = 132,912 × 132,912
  4. Step 4: Simplify right side
    83,938.50x = 17,665,599,744
  5. Step 5: Solve for x
    x = 17,665,599,744/83,938.50
  6. Step 6: Final answer
    x = 210,458.84

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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.