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Finding the Third Proportional to 55,392 and 120,809

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Solution

The third proportional to 55,392 and 120,809 is: 263,482.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,392 : 120,809 = 120,809 : x
  2. Step 2: Convert to fraction form
    55,392/120,809 = 120,809/x
  3. Step 3: Cross multiply
    55,392x = 120,809 × 120,809
  4. Step 4: Simplify right side
    55,392x = 14,594,814,481
  5. Step 5: Solve for x
    x = 14,594,814,481/55,392
  6. Step 6: Final answer
    x = 263,482.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.