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Finding the Third Proportional to 39,108 and 58,512

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Solution

The third proportional to 39,108 and 58,512 is: 87,543.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,108 : 58,512 = 58,512 : x
  2. Step 2: Convert to fraction form
    39,108/58,512 = 58,512/x
  3. Step 3: Cross multiply
    39,108x = 58,512 × 58,512
  4. Step 4: Simplify right side
    39,108x = 3,423,654,144
  5. Step 5: Solve for x
    x = 3,423,654,144/39,108
  6. Step 6: Final answer
    x = 87,543.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.