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Finding the Third Proportional to 217,330 and 458,260

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Solution

The third proportional to 217,330 and 458,260 is: 966,282.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,330 : 458,260 = 458,260 : x
  2. Step 2: Convert to fraction form
    217,330/458,260 = 458,260/x
  3. Step 3: Cross multiply
    217,330x = 458,260 × 458,260
  4. Step 4: Simplify right side
    217,330x = 210,002,227,600
  5. Step 5: Solve for x
    x = 210,002,227,600/217,330
  6. Step 6: Final answer
    x = 966,282.74

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.