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Finding the Third Proportional to 481,532 and 644,211

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Solution

The third proportional to 481,532 and 644,211 is: 861,848.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,532 : 644,211 = 644,211 : x
  2. Step 2: Convert to fraction form
    481,532/644,211 = 644,211/x
  3. Step 3: Cross multiply
    481,532x = 644,211 × 644,211
  4. Step 4: Simplify right side
    481,532x = 415,007,812,521
  5. Step 5: Solve for x
    x = 415,007,812,521/481,532
  6. Step 6: Final answer
    x = 861,848.88

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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.