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Finding the Third Proportional to 412,211 and 655,698

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Solution

The third proportional to 412,211 and 655,698 is: 1,043,009.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,211 : 655,698 = 655,698 : x
  2. Step 2: Convert to fraction form
    412,211/655,698 = 655,698/x
  3. Step 3: Cross multiply
    412,211x = 655,698 × 655,698
  4. Step 4: Simplify right side
    412,211x = 429,939,867,204
  5. Step 5: Solve for x
    x = 429,939,867,204/412,211
  6. Step 6: Final answer
    x = 1,043,009.20

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.