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Finding the Third Proportional to 296,810 and 445,107

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Solution

The third proportional to 296,810 and 445,107 is: 667,498.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,810 : 445,107 = 445,107 : x
  2. Step 2: Convert to fraction form
    296,810/445,107 = 445,107/x
  3. Step 3: Cross multiply
    296,810x = 445,107 × 445,107
  4. Step 4: Simplify right side
    296,810x = 198,120,241,449
  5. Step 5: Solve for x
    x = 198,120,241,449/296,810
  6. Step 6: Final answer
    x = 667,498.54

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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.