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Finding the Third Proportional to 39,620 and 92,138

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Solution

The third proportional to 39,620 and 92,138 is: 214,270.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,620 : 92,138 = 92,138 : x
  2. Step 2: Convert to fraction form
    39,620/92,138 = 92,138/x
  3. Step 3: Cross multiply
    39,620x = 92,138 × 92,138
  4. Step 4: Simplify right side
    39,620x = 8,489,411,044
  5. Step 5: Solve for x
    x = 8,489,411,044/39,620
  6. Step 6: Final answer
    x = 214,270.85

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.