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Finding the Third Proportional to 217,070 and 465,286

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Solution

The third proportional to 217,070 and 465,286 is: 997,332.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,070 : 465,286 = 465,286 : x
  2. Step 2: Convert to fraction form
    217,070/465,286 = 465,286/x
  3. Step 3: Cross multiply
    217,070x = 465,286 × 465,286
  4. Step 4: Simplify right side
    217,070x = 216,491,061,796
  5. Step 5: Solve for x
    x = 216,491,061,796/217,070
  6. Step 6: Final answer
    x = 997,332.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.