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Finding the Third Proportional to 415.31 and 990.94

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Solution

The third proportional to 415.31 and 990.94 is: 2,364.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.31 : 990.94 = 990.94 : x
  2. Step 2: Convert to fraction form
    415.31/990.94 = 990.94/x
  3. Step 3: Cross multiply
    415.31x = 990.94 × 990.94
  4. Step 4: Simplify right side
    415.31x = 981,957.13
  5. Step 5: Solve for x
    x = 981,957.13/415.31
  6. Step 6: Final answer
    x = 2,364.38

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.