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Finding the Third Proportional to 79,236 and 120,315

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Solution

The third proportional to 79,236 and 120,315 is: 182,690.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,236 : 120,315 = 120,315 : x
  2. Step 2: Convert to fraction form
    79,236/120,315 = 120,315/x
  3. Step 3: Cross multiply
    79,236x = 120,315 × 120,315
  4. Step 4: Simplify right side
    79,236x = 14,475,699,225
  5. Step 5: Solve for x
    x = 14,475,699,225/79,236
  6. Step 6: Final answer
    x = 182,690.94

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.