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Finding the Third Proportional to 217,911 and 470,223

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Solution

The third proportional to 217,911 and 470,223 is: 1,014,678.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,911 : 470,223 = 470,223 : x
  2. Step 2: Convert to fraction form
    217,911/470,223 = 470,223/x
  3. Step 3: Cross multiply
    217,911x = 470,223 × 470,223
  4. Step 4: Simplify right side
    217,911x = 221,109,669,729
  5. Step 5: Solve for x
    x = 221,109,669,729/217,911
  6. Step 6: Final answer
    x = 1,014,678.79

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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.