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Finding the Third Proportional to 332,942 and 471,108

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Solution

The third proportional to 332,942 and 471,108 is: 666,610.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,942 : 471,108 = 471,108 : x
  2. Step 2: Convert to fraction form
    332,942/471,108 = 471,108/x
  3. Step 3: Cross multiply
    332,942x = 471,108 × 471,108
  4. Step 4: Simplify right side
    332,942x = 221,942,747,664
  5. Step 5: Solve for x
    x = 221,942,747,664/332,942
  6. Step 6: Final answer
    x = 666,610.84

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.