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Finding the Third Proportional to 75,339 and 103,305

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Solution

The third proportional to 75,339 and 103,305 is: 141,652.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,339 : 103,305 = 103,305 : x
  2. Step 2: Convert to fraction form
    75,339/103,305 = 103,305/x
  3. Step 3: Cross multiply
    75,339x = 103,305 × 103,305
  4. Step 4: Simplify right side
    75,339x = 10,671,923,025
  5. Step 5: Solve for x
    x = 10,671,923,025/75,339
  6. Step 6: Final answer
    x = 141,652.04

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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.