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Finding the Third Proportional to 221,436 and 343,820

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Solution

The third proportional to 221,436 and 343,820 is: 533,843.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,436 : 343,820 = 343,820 : x
  2. Step 2: Convert to fraction form
    221,436/343,820 = 343,820/x
  3. Step 3: Cross multiply
    221,436x = 343,820 × 343,820
  4. Step 4: Simplify right side
    221,436x = 118,212,192,400
  5. Step 5: Solve for x
    x = 118,212,192,400/221,436
  6. Step 6: Final answer
    x = 533,843.60

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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.