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Finding the Third Proportional to 213,888.38 and 299,046.75

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Solution

The third proportional to 213,888.38 and 299,046.75 is: 418,110.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,888.38 : 299,046.75 = 299,046.75 : x
  2. Step 2: Convert to fraction form
    213,888.38/299,046.75 = 299,046.75/x
  3. Step 3: Cross multiply
    213,888.38x = 299,046.75 × 299,046.75
  4. Step 4: Simplify right side
    213,888.38x = 89,428,958,685.56
  5. Step 5: Solve for x
    x = 89,428,958,685.56/213,888.38
  6. Step 6: Final answer
    x = 418,110.42

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.