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Finding the Third Proportional to 408,574 and 675,231

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Solution

The third proportional to 408,574 and 675,231 is: 1,115,922.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,574 : 675,231 = 675,231 : x
  2. Step 2: Convert to fraction form
    408,574/675,231 = 675,231/x
  3. Step 3: Cross multiply
    408,574x = 675,231 × 675,231
  4. Step 4: Simplify right side
    408,574x = 455,936,903,361
  5. Step 5: Solve for x
    x = 455,936,903,361/408,574
  6. Step 6: Final answer
    x = 1,115,922.46

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.