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Finding the Third Proportional to 118,407 and 253,608

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Solution

The third proportional to 118,407 and 253,608 is: 543,185.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,407 : 253,608 = 253,608 : x
  2. Step 2: Convert to fraction form
    118,407/253,608 = 253,608/x
  3. Step 3: Cross multiply
    118,407x = 253,608 × 253,608
  4. Step 4: Simplify right side
    118,407x = 64,317,017,664
  5. Step 5: Solve for x
    x = 64,317,017,664/118,407
  6. Step 6: Final answer
    x = 543,185.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.