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Finding the Third Proportional to 162,646 and 253,805

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Solution

The third proportional to 162,646 and 253,805 is: 396,056.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,646 : 253,805 = 253,805 : x
  2. Step 2: Convert to fraction form
    162,646/253,805 = 253,805/x
  3. Step 3: Cross multiply
    162,646x = 253,805 × 253,805
  4. Step 4: Simplify right side
    162,646x = 64,416,978,025
  5. Step 5: Solve for x
    x = 64,416,978,025/162,646
  6. Step 6: Final answer
    x = 396,056.33

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.