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Finding the Third Proportional to 221,427 and 343,800

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Solution

The third proportional to 221,427 and 343,800 is: 533,803.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,427 : 343,800 = 343,800 : x
  2. Step 2: Convert to fraction form
    221,427/343,800 = 343,800/x
  3. Step 3: Cross multiply
    221,427x = 343,800 × 343,800
  4. Step 4: Simplify right side
    221,427x = 118,198,440,000
  5. Step 5: Solve for x
    x = 118,198,440,000/221,427
  6. Step 6: Final answer
    x = 533,803.19

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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.