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Finding the Third Proportional to 76,974 and 120,321

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Solution

The third proportional to 76,974 and 120,321 is: 188,078.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,974 : 120,321 = 120,321 : x
  2. Step 2: Convert to fraction form
    76,974/120,321 = 120,321/x
  3. Step 3: Cross multiply
    76,974x = 120,321 × 120,321
  4. Step 4: Simplify right side
    76,974x = 14,477,143,041
  5. Step 5: Solve for x
    x = 14,477,143,041/76,974
  6. Step 6: Final answer
    x = 188,078.35

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.