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Finding the Third Proportional to 162,009 and 252,357

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Solution

The third proportional to 162,009 and 252,357 is: 393,089.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,009 : 252,357 = 252,357 : x
  2. Step 2: Convert to fraction form
    162,009/252,357 = 252,357/x
  3. Step 3: Cross multiply
    162,009x = 252,357 × 252,357
  4. Step 4: Simplify right side
    162,009x = 63,684,055,449
  5. Step 5: Solve for x
    x = 63,684,055,449/162,009
  6. Step 6: Final answer
    x = 393,089.62

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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.