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Finding the Third Proportional to 76,818 and 120,237

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Solution

The third proportional to 76,818 and 120,237 is: 188,197.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,818 : 120,237 = 120,237 : x
  2. Step 2: Convert to fraction form
    76,818/120,237 = 120,237/x
  3. Step 3: Cross multiply
    76,818x = 120,237 × 120,237
  4. Step 4: Simplify right side
    76,818x = 14,456,936,169
  5. Step 5: Solve for x
    x = 14,456,936,169/76,818
  6. Step 6: Final answer
    x = 188,197.25

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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.