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Finding the Third Proportional to 470,916 and 720,198

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Solution

The third proportional to 470,916 and 720,198 is: 1,101,438.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,916 : 720,198 = 720,198 : x
  2. Step 2: Convert to fraction form
    470,916/720,198 = 720,198/x
  3. Step 3: Cross multiply
    470,916x = 720,198 × 720,198
  4. Step 4: Simplify right side
    470,916x = 518,685,159,204
  5. Step 5: Solve for x
    x = 518,685,159,204/470,916
  6. Step 6: Final answer
    x = 1,101,438.81

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.