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Finding the Third Proportional to 217,000 and 324,340

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Solution

The third proportional to 217,000 and 324,340 is: 484,776.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,000 : 324,340 = 324,340 : x
  2. Step 2: Convert to fraction form
    217,000/324,340 = 324,340/x
  3. Step 3: Cross multiply
    217,000x = 324,340 × 324,340
  4. Step 4: Simplify right side
    217,000x = 105,196,435,600
  5. Step 5: Solve for x
    x = 105,196,435,600/217,000
  6. Step 6: Final answer
    x = 484,776.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.