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Finding the Third Proportional to 12,585 and 27,735

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Solution

The third proportional to 12,585 and 27,735 is: 61,122.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,585 : 27,735 = 27,735 : x
  2. Step 2: Convert to fraction form
    12,585/27,735 = 27,735/x
  3. Step 3: Cross multiply
    12,585x = 27,735 × 27,735
  4. Step 4: Simplify right side
    12,585x = 769,230,225
  5. Step 5: Solve for x
    x = 769,230,225/12,585
  6. Step 6: Final answer
    x = 61,122.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.