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Finding the Third Proportional to 76,858 and 120,303

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Solution

The third proportional to 76,858 and 120,303 is: 188,305.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,858 : 120,303 = 120,303 : x
  2. Step 2: Convert to fraction form
    76,858/120,303 = 120,303/x
  3. Step 3: Cross multiply
    76,858x = 120,303 × 120,303
  4. Step 4: Simplify right side
    76,858x = 14,472,811,809
  5. Step 5: Solve for x
    x = 14,472,811,809/76,858
  6. Step 6: Final answer
    x = 188,305.86

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.