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Finding the Third Proportional to 906.56 and 990.94

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Solution

The third proportional to 906.56 and 990.94 is: 1,083.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.56 : 990.94 = 990.94 : x
  2. Step 2: Convert to fraction form
    906.56/990.94 = 990.94/x
  3. Step 3: Cross multiply
    906.56x = 990.94 × 990.94
  4. Step 4: Simplify right side
    906.56x = 981,957.13
  5. Step 5: Solve for x
    x = 981,957.13/906.56
  6. Step 6: Final answer
    x = 1,083.17

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.