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Finding the Third Proportional to 269,950 and 644,737

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Solution

The third proportional to 269,950 and 644,737 is: 1,539,862.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,950 : 644,737 = 644,737 : x
  2. Step 2: Convert to fraction form
    269,950/644,737 = 644,737/x
  3. Step 3: Cross multiply
    269,950x = 644,737 × 644,737
  4. Step 4: Simplify right side
    269,950x = 415,685,799,169
  5. Step 5: Solve for x
    x = 415,685,799,169/269,950
  6. Step 6: Final answer
    x = 1,539,862.19

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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.