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Finding the Third Proportional to 217,902 and 470,817

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Solution

The third proportional to 217,902 and 470,817 is: 1,017,285.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,902 : 470,817 = 470,817 : x
  2. Step 2: Convert to fraction form
    217,902/470,817 = 470,817/x
  3. Step 3: Cross multiply
    217,902x = 470,817 × 470,817
  4. Step 4: Simplify right side
    217,902x = 221,668,647,489
  5. Step 5: Solve for x
    x = 221,668,647,489/217,902
  6. Step 6: Final answer
    x = 1,017,285.97

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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.