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Finding the Third Proportional to 318,178 and 445,982

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Solution

The third proportional to 318,178 and 445,982 is: 625,121.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,178 : 445,982 = 445,982 : x
  2. Step 2: Convert to fraction form
    318,178/445,982 = 445,982/x
  3. Step 3: Cross multiply
    318,178x = 445,982 × 445,982
  4. Step 4: Simplify right side
    318,178x = 198,899,944,324
  5. Step 5: Solve for x
    x = 198,899,944,324/318,178
  6. Step 6: Final answer
    x = 625,121.61

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.