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Finding the Third Proportional to 206,412.75 and 308,658

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Solution

The third proportional to 206,412.75 and 308,658 is: 461,549.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,412.75 : 308,658 = 308,658 : x
  2. Step 2: Convert to fraction form
    206,412.75/308,658 = 308,658/x
  3. Step 3: Cross multiply
    206,412.75x = 308,658 × 308,658
  4. Step 4: Simplify right side
    206,412.75x = 95,269,760,964
  5. Step 5: Solve for x
    x = 95,269,760,964/206,412.75
  6. Step 6: Final answer
    x = 461,549.79

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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.