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Finding the Third Proportional to 53,902 and 118,172

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Solution

The third proportional to 53,902 and 118,172 is: 259,074.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,902 : 118,172 = 118,172 : x
  2. Step 2: Convert to fraction form
    53,902/118,172 = 118,172/x
  3. Step 3: Cross multiply
    53,902x = 118,172 × 118,172
  4. Step 4: Simplify right side
    53,902x = 13,964,621,584
  5. Step 5: Solve for x
    x = 13,964,621,584/53,902
  6. Step 6: Final answer
    x = 259,074.28

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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.