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Finding the Third Proportional to 217,288.50 and 335,775

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Solution

The third proportional to 217,288.50 and 335,775 is: 518,871.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,288.50 : 335,775 = 335,775 : x
  2. Step 2: Convert to fraction form
    217,288.50/335,775 = 335,775/x
  3. Step 3: Cross multiply
    217,288.50x = 335,775 × 335,775
  4. Step 4: Simplify right side
    217,288.50x = 112,744,850,625
  5. Step 5: Solve for x
    x = 112,744,850,625/217,288.50
  6. Step 6: Final answer
    x = 518,871.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.