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Finding the Third Proportional to 217,950 and 470,325

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Solution

The third proportional to 217,950 and 470,325 is: 1,014,937.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,950 : 470,325 = 470,325 : x
  2. Step 2: Convert to fraction form
    217,950/470,325 = 470,325/x
  3. Step 3: Cross multiply
    217,950x = 470,325 × 470,325
  4. Step 4: Simplify right side
    217,950x = 221,205,605,625
  5. Step 5: Solve for x
    x = 221,205,605,625/217,950
  6. Step 6: Final answer
    x = 1,014,937.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.