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Finding the Third Proportional to 607.31 and 911.09

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Solution

The third proportional to 607.31 and 911.09 is: 1,366.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.31 : 911.09 = 911.09 : x
  2. Step 2: Convert to fraction form
    607.31/911.09 = 911.09/x
  3. Step 3: Cross multiply
    607.31x = 911.09 × 911.09
  4. Step 4: Simplify right side
    607.31x = 830,091.82
  5. Step 5: Solve for x
    x = 830,091.82/607.31
  6. Step 6: Final answer
    x = 1,366.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.