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Finding the Third Proportional to 216,957 and 470,802

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Solution

The third proportional to 216,957 and 470,802 is: 1,021,651.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,957 : 470,802 = 470,802 : x
  2. Step 2: Convert to fraction form
    216,957/470,802 = 470,802/x
  3. Step 3: Cross multiply
    216,957x = 470,802 × 470,802
  4. Step 4: Simplify right side
    216,957x = 221,654,523,204
  5. Step 5: Solve for x
    x = 221,654,523,204/216,957
  6. Step 6: Final answer
    x = 1,021,651.86

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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.