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Finding the Third Proportional to 410,980 and 644,869

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Solution

The third proportional to 410,980 and 644,869 is: 1,011,864.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,980 : 644,869 = 644,869 : x
  2. Step 2: Convert to fraction form
    410,980/644,869 = 644,869/x
  3. Step 3: Cross multiply
    410,980x = 644,869 × 644,869
  4. Step 4: Simplify right side
    410,980x = 415,856,027,161
  5. Step 5: Solve for x
    x = 415,856,027,161/410,980
  6. Step 6: Final answer
    x = 1,011,864.39

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.