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Finding the Third Proportional to 86,262.75 and 132,124.50

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Solution

The third proportional to 86,262.75 and 132,124.50 is: 202,368.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,262.75 : 132,124.50 = 132,124.50 : x
  2. Step 2: Convert to fraction form
    86,262.75/132,124.50 = 132,124.50/x
  3. Step 3: Cross multiply
    86,262.75x = 132,124.50 × 132,124.50
  4. Step 4: Simplify right side
    86,262.75x = 17,456,883,500.25
  5. Step 5: Solve for x
    x = 17,456,883,500.25/86,262.75
  6. Step 6: Final answer
    x = 202,368.73

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.