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Finding the Third Proportional to 165,158 and 253,063

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Solution

The third proportional to 165,158 and 253,063 is: 387,755.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,158 : 253,063 = 253,063 : x
  2. Step 2: Convert to fraction form
    165,158/253,063 = 253,063/x
  3. Step 3: Cross multiply
    165,158x = 253,063 × 253,063
  4. Step 4: Simplify right side
    165,158x = 64,040,881,969
  5. Step 5: Solve for x
    x = 64,040,881,969/165,158
  6. Step 6: Final answer
    x = 387,755.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.