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Finding the Third Proportional to 302,806 and 470,198

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Solution

The third proportional to 302,806 and 470,198 is: 730,124.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,806 : 470,198 = 470,198 : x
  2. Step 2: Convert to fraction form
    302,806/470,198 = 470,198/x
  3. Step 3: Cross multiply
    302,806x = 470,198 × 470,198
  4. Step 4: Simplify right side
    302,806x = 221,086,159,204
  5. Step 5: Solve for x
    x = 221,086,159,204/302,806
  6. Step 6: Final answer
    x = 730,124.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.