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Finding the Third Proportional to 39,180 and 92,412

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Solution

The third proportional to 39,180 and 92,412 is: 217,967.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,180 : 92,412 = 92,412 : x
  2. Step 2: Convert to fraction form
    39,180/92,412 = 92,412/x
  3. Step 3: Cross multiply
    39,180x = 92,412 × 92,412
  4. Step 4: Simplify right side
    39,180x = 8,539,977,744
  5. Step 5: Solve for x
    x = 8,539,977,744/39,180
  6. Step 6: Final answer
    x = 217,967.78

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.