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Finding the Third Proportional to 481,540 and 644,220

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Solution

The third proportional to 481,540 and 644,220 is: 861,858.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,540 : 644,220 = 644,220 : x
  2. Step 2: Convert to fraction form
    481,540/644,220 = 644,220/x
  3. Step 3: Cross multiply
    481,540x = 644,220 × 644,220
  4. Step 4: Simplify right side
    481,540x = 415,019,408,400
  5. Step 5: Solve for x
    x = 415,019,408,400/481,540
  6. Step 6: Final answer
    x = 861,858.64

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.