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Finding the Third Proportional to 11,970 and 25,718

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Solution

The third proportional to 11,970 and 25,718 is: 55,256.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,970 : 25,718 = 25,718 : x
  2. Step 2: Convert to fraction form
    11,970/25,718 = 25,718/x
  3. Step 3: Cross multiply
    11,970x = 25,718 × 25,718
  4. Step 4: Simplify right side
    11,970x = 661,415,524
  5. Step 5: Solve for x
    x = 661,415,524/11,970
  6. Step 6: Final answer
    x = 55,256.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.