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Finding the Third Proportional to 76,096 and 165,040

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Solution

The third proportional to 76,096 and 165,040 is: 357,945.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,096 : 165,040 = 165,040 : x
  2. Step 2: Convert to fraction form
    76,096/165,040 = 165,040/x
  3. Step 3: Cross multiply
    76,096x = 165,040 × 165,040
  4. Step 4: Simplify right side
    76,096x = 27,238,201,600
  5. Step 5: Solve for x
    x = 27,238,201,600/76,096
  6. Step 6: Final answer
    x = 357,945.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.