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Finding the Third Proportional to 103,039 and 219,687

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Solution

The third proportional to 103,039 and 219,687 is: 468,389.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,039 : 219,687 = 219,687 : x
  2. Step 2: Convert to fraction form
    103,039/219,687 = 219,687/x
  3. Step 3: Cross multiply
    103,039x = 219,687 × 219,687
  4. Step 4: Simplify right side
    103,039x = 48,262,377,969
  5. Step 5: Solve for x
    x = 48,262,377,969/103,039
  6. Step 6: Final answer
    x = 468,389.43

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.