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Finding the Third Proportional to 511.73 and 902.39

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Solution

The third proportional to 511.73 and 902.39 is: 1,591.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.73 : 902.39 = 902.39 : x
  2. Step 2: Convert to fraction form
    511.73/902.39 = 902.39/x
  3. Step 3: Cross multiply
    511.73x = 902.39 × 902.39
  4. Step 4: Simplify right side
    511.73x = 814,308.84
  5. Step 5: Solve for x
    x = 814,308.84/511.73
  6. Step 6: Final answer
    x = 1,591.27

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.