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Finding the Third Proportional to 90,419 and 133,785.50

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Solution

The third proportional to 90,419 and 133,785.50 is: 197,951.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,419 : 133,785.50 = 133,785.50 : x
  2. Step 2: Convert to fraction form
    90,419/133,785.50 = 133,785.50/x
  3. Step 3: Cross multiply
    90,419x = 133,785.50 × 133,785.50
  4. Step 4: Simplify right side
    90,419x = 17,898,560,010.25
  5. Step 5: Solve for x
    x = 17,898,560,010.25/90,419
  6. Step 6: Final answer
    x = 197,951.32

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.