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Finding the Third Proportional to 384,169.50 and 418,614.75

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Solution

The third proportional to 384,169.50 and 418,614.75 is: 456,148.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,169.50 : 418,614.75 = 418,614.75 : x
  2. Step 2: Convert to fraction form
    384,169.50/418,614.75 = 418,614.75/x
  3. Step 3: Cross multiply
    384,169.50x = 418,614.75 × 418,614.75
  4. Step 4: Simplify right side
    384,169.50x = 175,238,308,917.56
  5. Step 5: Solve for x
    x = 175,238,308,917.56/384,169.50
  6. Step 6: Final answer
    x = 456,148.42

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.