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Finding the Third Proportional to 217,230.75 and 455,238

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Solution

The third proportional to 217,230.75 and 455,238 is: 954,016.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,230.75 : 455,238 = 455,238 : x
  2. Step 2: Convert to fraction form
    217,230.75/455,238 = 455,238/x
  3. Step 3: Cross multiply
    217,230.75x = 455,238 × 455,238
  4. Step 4: Simplify right side
    217,230.75x = 207,241,636,644
  5. Step 5: Solve for x
    x = 207,241,636,644/217,230.75
  6. Step 6: Final answer
    x = 954,016.12

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.