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Finding the Third Proportional to 665 and 912.25

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Solution

The third proportional to 665 and 912.25 is: 1,251.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    665 : 912.25 = 912.25 : x
  2. Step 2: Convert to fraction form
    665/912.25 = 912.25/x
  3. Step 3: Cross multiply
    665x = 912.25 × 912.25
  4. Step 4: Simplify right side
    665x = 832,200.06
  5. Step 5: Solve for x
    x = 832,200.06/665
  6. Step 6: Final answer
    x = 1,251.43

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.