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Finding the Third Proportional to 221,425 and 343,801

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Solution

The third proportional to 221,425 and 343,801 is: 533,811.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,425 : 343,801 = 343,801 : x
  2. Step 2: Convert to fraction form
    221,425/343,801 = 343,801/x
  3. Step 3: Cross multiply
    221,425x = 343,801 × 343,801
  4. Step 4: Simplify right side
    221,425x = 118,199,127,601
  5. Step 5: Solve for x
    x = 118,199,127,601/221,425
  6. Step 6: Final answer
    x = 533,811.12

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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.