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Finding the Third Proportional to 169,078 and 253,086

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Solution

The third proportional to 169,078 and 253,086 is: 378,834.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,078 : 253,086 = 253,086 : x
  2. Step 2: Convert to fraction form
    169,078/253,086 = 253,086/x
  3. Step 3: Cross multiply
    169,078x = 253,086 × 253,086
  4. Step 4: Simplify right side
    169,078x = 64,052,523,396
  5. Step 5: Solve for x
    x = 64,052,523,396/169,078
  6. Step 6: Final answer
    x = 378,834.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.