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Finding the Third Proportional to 86,161.50 and 132,402

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Solution

The third proportional to 86,161.50 and 132,402 is: 203,458.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,161.50 : 132,402 = 132,402 : x
  2. Step 2: Convert to fraction form
    86,161.50/132,402 = 132,402/x
  3. Step 3: Cross multiply
    86,161.50x = 132,402 × 132,402
  4. Step 4: Simplify right side
    86,161.50x = 17,530,289,604
  5. Step 5: Solve for x
    x = 17,530,289,604/86,161.50
  6. Step 6: Final answer
    x = 203,458.50

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