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Finding the Third Proportional to 115,617 and 252,242

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Solution

The third proportional to 115,617 and 252,242 is: 550,317.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,617 : 252,242 = 252,242 : x
  2. Step 2: Convert to fraction form
    115,617/252,242 = 252,242/x
  3. Step 3: Cross multiply
    115,617x = 252,242 × 252,242
  4. Step 4: Simplify right side
    115,617x = 63,626,026,564
  5. Step 5: Solve for x
    x = 63,626,026,564/115,617
  6. Step 6: Final answer
    x = 550,317.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.