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Finding the Third Proportional to 117,981 and 254,809

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Solution

The third proportional to 117,981 and 254,809 is: 550,322.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,981 : 254,809 = 254,809 : x
  2. Step 2: Convert to fraction form
    117,981/254,809 = 254,809/x
  3. Step 3: Cross multiply
    117,981x = 254,809 × 254,809
  4. Step 4: Simplify right side
    117,981x = 64,927,626,481
  5. Step 5: Solve for x
    x = 64,927,626,481/117,981
  6. Step 6: Final answer
    x = 550,322.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.