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Finding the Third Proportional to 90,485 and 133,096

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Solution

The third proportional to 90,485 and 133,096 is: 195,773.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,485 : 133,096 = 133,096 : x
  2. Step 2: Convert to fraction form
    90,485/133,096 = 133,096/x
  3. Step 3: Cross multiply
    90,485x = 133,096 × 133,096
  4. Step 4: Simplify right side
    90,485x = 17,714,545,216
  5. Step 5: Solve for x
    x = 17,714,545,216/90,485
  6. Step 6: Final answer
    x = 195,773.28

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.