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Finding the Third Proportional to 217,620 and 332,910

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Solution

The third proportional to 217,620 and 332,910 is: 509,277.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,620 : 332,910 = 332,910 : x
  2. Step 2: Convert to fraction form
    217,620/332,910 = 332,910/x
  3. Step 3: Cross multiply
    217,620x = 332,910 × 332,910
  4. Step 4: Simplify right side
    217,620x = 110,829,068,100
  5. Step 5: Solve for x
    x = 110,829,068,100/217,620
  6. Step 6: Final answer
    x = 509,277.95

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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.