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Finding the Third Proportional to 56,170 and 120,804

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Solution

The third proportional to 56,170 and 120,804 is: 259,811.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,170 : 120,804 = 120,804 : x
  2. Step 2: Convert to fraction form
    56,170/120,804 = 120,804/x
  3. Step 3: Cross multiply
    56,170x = 120,804 × 120,804
  4. Step 4: Simplify right side
    56,170x = 14,593,606,416
  5. Step 5: Solve for x
    x = 14,593,606,416/56,170
  6. Step 6: Final answer
    x = 259,811.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.