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Finding the Third Proportional to 440,932 and 644,384

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Solution

The third proportional to 440,932 and 644,384 is: 941,711.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,932 : 644,384 = 644,384 : x
  2. Step 2: Convert to fraction form
    440,932/644,384 = 644,384/x
  3. Step 3: Cross multiply
    440,932x = 644,384 × 644,384
  4. Step 4: Simplify right side
    440,932x = 415,230,739,456
  5. Step 5: Solve for x
    x = 415,230,739,456/440,932
  6. Step 6: Final answer
    x = 941,711.51

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.