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Finding the Third Proportional to 205,872 and 308,808

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Solution

The third proportional to 205,872 and 308,808 is: 463,212

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,872 : 308,808 = 308,808 : x
  2. Step 2: Convert to fraction form
    205,872/308,808 = 308,808/x
  3. Step 3: Cross multiply
    205,872x = 308,808 × 308,808
  4. Step 4: Simplify right side
    205,872x = 95,362,380,864
  5. Step 5: Solve for x
    x = 95,362,380,864/205,872
  6. Step 6: Final answer
    x = 463,212

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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.