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Finding the Third Proportional to 115,857 and 270,678

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Solution

The third proportional to 115,857 and 270,678 is: 632,388.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,857 : 270,678 = 270,678 : x
  2. Step 2: Convert to fraction form
    115,857/270,678 = 270,678/x
  3. Step 3: Cross multiply
    115,857x = 270,678 × 270,678
  4. Step 4: Simplify right side
    115,857x = 73,266,579,684
  5. Step 5: Solve for x
    x = 73,266,579,684/115,857
  6. Step 6: Final answer
    x = 632,388.03

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.