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Finding the Third Proportional to 11,573 and 25,319

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Solution

The third proportional to 11,573 and 25,319 is: 55,392.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,573 : 25,319 = 25,319 : x
  2. Step 2: Convert to fraction form
    11,573/25,319 = 25,319/x
  3. Step 3: Cross multiply
    11,573x = 25,319 × 25,319
  4. Step 4: Simplify right side
    11,573x = 641,051,761
  5. Step 5: Solve for x
    x = 641,051,761/11,573
  6. Step 6: Final answer
    x = 55,392.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.