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Finding the Third Proportional to 138,056 and 195,760

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Solution

The third proportional to 138,056 and 195,760 is: 277,582.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,056 : 195,760 = 195,760 : x
  2. Step 2: Convert to fraction form
    138,056/195,760 = 195,760/x
  3. Step 3: Cross multiply
    138,056x = 195,760 × 195,760
  4. Step 4: Simplify right side
    138,056x = 38,321,977,600
  5. Step 5: Solve for x
    x = 38,321,977,600/138,056
  6. Step 6: Final answer
    x = 277,582.85

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.