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Finding the Third Proportional to 90,450 and 132,964.88

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Solution

The third proportional to 90,450 and 132,964.88 is: 195,463.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,450 : 132,964.88 = 132,964.88 : x
  2. Step 2: Convert to fraction form
    90,450/132,964.88 = 132,964.88/x
  3. Step 3: Cross multiply
    90,450x = 132,964.88 × 132,964.88
  4. Step 4: Simplify right side
    90,450x = 17,679,657,983.77
  5. Step 5: Solve for x
    x = 17,679,657,983.77/90,450
  6. Step 6: Final answer
    x = 195,463.33

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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.