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Finding the Third Proportional to 217,394.50 and 285,873

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Solution

The third proportional to 217,394.50 and 285,873 is: 375,921.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,394.50 : 285,873 = 285,873 : x
  2. Step 2: Convert to fraction form
    217,394.50/285,873 = 285,873/x
  3. Step 3: Cross multiply
    217,394.50x = 285,873 × 285,873
  4. Step 4: Simplify right side
    217,394.50x = 81,723,372,129
  5. Step 5: Solve for x
    x = 81,723,372,129/217,394.50
  6. Step 6: Final answer
    x = 375,921.99

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.