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Finding the Third Proportional to 39,138 and 58,715

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Solution

The third proportional to 39,138 and 58,715 is: 88,084.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,138 : 58,715 = 58,715 : x
  2. Step 2: Convert to fraction form
    39,138/58,715 = 58,715/x
  3. Step 3: Cross multiply
    39,138x = 58,715 × 58,715
  4. Step 4: Simplify right side
    39,138x = 3,447,451,225
  5. Step 5: Solve for x
    x = 3,447,451,225/39,138
  6. Step 6: Final answer
    x = 88,084.50

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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.