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Finding the Third Proportional to 217,050 and 322,425

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Solution

The third proportional to 217,050 and 322,425 is: 478,958.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,050 : 322,425 = 322,425 : x
  2. Step 2: Convert to fraction form
    217,050/322,425 = 322,425/x
  3. Step 3: Cross multiply
    217,050x = 322,425 × 322,425
  4. Step 4: Simplify right side
    217,050x = 103,957,880,625
  5. Step 5: Solve for x
    x = 103,957,880,625/217,050
  6. Step 6: Final answer
    x = 478,958.22

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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.