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Finding the Third Proportional to 421,442 and 667,155

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Solution

The third proportional to 421,442 and 667,155 is: 1,056,125.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,442 : 667,155 = 667,155 : x
  2. Step 2: Convert to fraction form
    421,442/667,155 = 667,155/x
  3. Step 3: Cross multiply
    421,442x = 667,155 × 667,155
  4. Step 4: Simplify right side
    421,442x = 445,095,794,025
  5. Step 5: Solve for x
    x = 445,095,794,025/421,442
  6. Step 6: Final answer
    x = 1,056,125.86

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.