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Finding the Third Proportional to 217,341 and 470,857

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Solution

The third proportional to 217,341 and 470,857 is: 1,020,085.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,341 : 470,857 = 470,857 : x
  2. Step 2: Convert to fraction form
    217,341/470,857 = 470,857/x
  3. Step 3: Cross multiply
    217,341x = 470,857 × 470,857
  4. Step 4: Simplify right side
    217,341x = 221,706,314,449
  5. Step 5: Solve for x
    x = 221,706,314,449/217,341
  6. Step 6: Final answer
    x = 1,020,085.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.