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Finding the Third Proportional to 221,260 and 343,176

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Solution

The third proportional to 221,260 and 343,176 is: 532,268.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,260 : 343,176 = 343,176 : x
  2. Step 2: Convert to fraction form
    221,260/343,176 = 343,176/x
  3. Step 3: Cross multiply
    221,260x = 343,176 × 343,176
  4. Step 4: Simplify right side
    221,260x = 117,769,766,976
  5. Step 5: Solve for x
    x = 117,769,766,976/221,260
  6. Step 6: Final answer
    x = 532,268.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.