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Finding the Third Proportional to 141,903 and 219,739

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Solution

The third proportional to 141,903 and 219,739 is: 340,269.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,903 : 219,739 = 219,739 : x
  2. Step 2: Convert to fraction form
    141,903/219,739 = 219,739/x
  3. Step 3: Cross multiply
    141,903x = 219,739 × 219,739
  4. Step 4: Simplify right side
    141,903x = 48,285,228,121
  5. Step 5: Solve for x
    x = 48,285,228,121/141,903
  6. Step 6: Final answer
    x = 340,269.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.