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Finding the Third Proportional to 87,740 and 192,140

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Solution

The third proportional to 87,740 and 192,140 is: 420,763.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,740 : 192,140 = 192,140 : x
  2. Step 2: Convert to fraction form
    87,740/192,140 = 192,140/x
  3. Step 3: Cross multiply
    87,740x = 192,140 × 192,140
  4. Step 4: Simplify right side
    87,740x = 36,917,779,600
  5. Step 5: Solve for x
    x = 36,917,779,600/87,740
  6. Step 6: Final answer
    x = 420,763.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.