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Finding the Third Proportional to 297,120 and 447,102

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Solution

The third proportional to 297,120 and 447,102 is: 672,792.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,120 : 447,102 = 447,102 : x
  2. Step 2: Convert to fraction form
    297,120/447,102 = 447,102/x
  3. Step 3: Cross multiply
    297,120x = 447,102 × 447,102
  4. Step 4: Simplify right side
    297,120x = 199,900,198,404
  5. Step 5: Solve for x
    x = 199,900,198,404/297,120
  6. Step 6: Final answer
    x = 672,792.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.