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Finding the Third Proportional to 269,948 and 644,732

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Solution

The third proportional to 269,948 and 644,732 is: 1,539,849.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,948 : 644,732 = 644,732 : x
  2. Step 2: Convert to fraction form
    269,948/644,732 = 644,732/x
  3. Step 3: Cross multiply
    269,948x = 644,732 × 644,732
  4. Step 4: Simplify right side
    269,948x = 415,679,351,824
  5. Step 5: Solve for x
    x = 415,679,351,824/269,948
  6. Step 6: Final answer
    x = 1,539,849.72

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.