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Finding the Third Proportional to 55,389 and 120,126

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Solution

The third proportional to 55,389 and 120,126 is: 260,525.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,389 : 120,126 = 120,126 : x
  2. Step 2: Convert to fraction form
    55,389/120,126 = 120,126/x
  3. Step 3: Cross multiply
    55,389x = 120,126 × 120,126
  4. Step 4: Simplify right side
    55,389x = 14,430,255,876
  5. Step 5: Solve for x
    x = 14,430,255,876/55,389
  6. Step 6: Final answer
    x = 260,525.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.