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Finding the Third Proportional to 242,207 and 378,027

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Solution

The third proportional to 242,207 and 378,027 is: 590,009.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,207 : 378,027 = 378,027 : x
  2. Step 2: Convert to fraction form
    242,207/378,027 = 378,027/x
  3. Step 3: Cross multiply
    242,207x = 378,027 × 378,027
  4. Step 4: Simplify right side
    242,207x = 142,904,412,729
  5. Step 5: Solve for x
    x = 142,904,412,729/242,207
  6. Step 6: Final answer
    x = 590,009.42

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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.