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Finding the Third Proportional to 55,742 and 120,190

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Solution

The third proportional to 55,742 and 120,190 is: 259,151.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,742 : 120,190 = 120,190 : x
  2. Step 2: Convert to fraction form
    55,742/120,190 = 120,190/x
  3. Step 3: Cross multiply
    55,742x = 120,190 × 120,190
  4. Step 4: Simplify right side
    55,742x = 14,445,636,100
  5. Step 5: Solve for x
    x = 14,445,636,100/55,742
  6. Step 6: Final answer
    x = 259,151.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.