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Finding the Third Proportional to 79,176 and 119,520

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Solution

The third proportional to 79,176 and 119,520 is: 180,421.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,176 : 119,520 = 119,520 : x
  2. Step 2: Convert to fraction form
    79,176/119,520 = 119,520/x
  3. Step 3: Cross multiply
    79,176x = 119,520 × 119,520
  4. Step 4: Simplify right side
    79,176x = 14,285,030,400
  5. Step 5: Solve for x
    x = 14,285,030,400/79,176
  6. Step 6: Final answer
    x = 180,421.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.