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Finding the Third Proportional to 481,536 and 644,217

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Solution

The third proportional to 481,536 and 644,217 is: 861,857.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,536 : 644,217 = 644,217 : x
  2. Step 2: Convert to fraction form
    481,536/644,217 = 644,217/x
  3. Step 3: Cross multiply
    481,536x = 644,217 × 644,217
  4. Step 4: Simplify right side
    481,536x = 415,015,543,089
  5. Step 5: Solve for x
    x = 415,015,543,089/481,536
  6. Step 6: Final answer
    x = 861,857.77

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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.