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Finding the Third Proportional to 115,986 and 254,388

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Solution

The third proportional to 115,986 and 254,388 is: 557,940.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,986 : 254,388 = 254,388 : x
  2. Step 2: Convert to fraction form
    115,986/254,388 = 254,388/x
  3. Step 3: Cross multiply
    115,986x = 254,388 × 254,388
  4. Step 4: Simplify right side
    115,986x = 64,713,254,544
  5. Step 5: Solve for x
    x = 64,713,254,544/115,986
  6. Step 6: Final answer
    x = 557,940.22

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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.