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Finding the Third Proportional to 11,566 and 25,720

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Solution

The third proportional to 11,566 and 25,720 is: 57,195.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,566 : 25,720 = 25,720 : x
  2. Step 2: Convert to fraction form
    11,566/25,720 = 25,720/x
  3. Step 3: Cross multiply
    11,566x = 25,720 × 25,720
  4. Step 4: Simplify right side
    11,566x = 661,518,400
  5. Step 5: Solve for x
    x = 661,518,400/11,566
  6. Step 6: Final answer
    x = 57,195.09

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.