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Finding the Third Proportional to 221,520 and 343,647

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Solution

The third proportional to 221,520 and 343,647 is: 533,104.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,520 : 343,647 = 343,647 : x
  2. Step 2: Convert to fraction form
    221,520/343,647 = 343,647/x
  3. Step 3: Cross multiply
    221,520x = 343,647 × 343,647
  4. Step 4: Simplify right side
    221,520x = 118,093,260,609
  5. Step 5: Solve for x
    x = 118,093,260,609/221,520
  6. Step 6: Final answer
    x = 533,104.28

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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.