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Finding the Third Proportional to 221,569 and 343,734

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Solution

The third proportional to 221,569 and 343,734 is: 533,256.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,569 : 343,734 = 343,734 : x
  2. Step 2: Convert to fraction form
    221,569/343,734 = 343,734/x
  3. Step 3: Cross multiply
    221,569x = 343,734 × 343,734
  4. Step 4: Simplify right side
    221,569x = 118,153,062,756
  5. Step 5: Solve for x
    x = 118,153,062,756/221,569
  6. Step 6: Final answer
    x = 533,256.29

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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.