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Finding the Third Proportional to 217,684 and 332,970

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Solution

The third proportional to 217,684 and 332,970 is: 509,311.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,684 : 332,970 = 332,970 : x
  2. Step 2: Convert to fraction form
    217,684/332,970 = 332,970/x
  3. Step 3: Cross multiply
    217,684x = 332,970 × 332,970
  4. Step 4: Simplify right side
    217,684x = 110,869,020,900
  5. Step 5: Solve for x
    x = 110,869,020,900/217,684
  6. Step 6: Final answer
    x = 509,311.76

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.